Mathematics
         
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Solution inequality:
    Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Inequality Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation a*145%*115%*140%*110%*300/(300+406-100)+a*289%*110%*300/(300+406-100) = 64720 .
    Question type: Equation
    Solution:Original question:
      a ×
145
100
×
115
100
×
140
100
×
110
100
× 300 ÷ (300 + 406100) + a ×
289
100
×
110
100
× 300 ÷ (300 + 406100) = 64720
     Multiply both sides of the equation by:(300 + 406100)
      a ×
145
100
×
115
100
×
140
100
×
110
100
× 300 + a ×
289
100
×
110
100
× 300 ÷ (300 + 406100) × (300 + 406100) = 64720(300 + 406100)
    Remove a bracket on the left of the equation::
      a ×
145
100
×
115
100
×
140
100
×
110
100
× 300 + a ×
289
100
×
110
100
× 300 ÷ (300 + 406100) × 300 = 64720(300 + 406100)
    Remove a bracket on the right of the equation::
      a ×
145
100
×
115
100
×
140
100
×
110
100
× 300 + a ×
289
100
×
110
100
× 300 ÷ (300 + 406100) × 300 = 64720 × 300 + 64720 × 40664720 × 100
    The equation is reduced to :
      a ×
154077
200
+ a × 286110 ÷ (300 + 406100) + a ×
1936011
5
÷ (300 + 406100) a × 95370 ÷ (300 + 406100) = 19416000 + 262763206472000
    The equation is reduced to :
     
154077
200
a + a × 286110 ÷ (300 + 406100) + a ×
1936011
5
÷ (300 + 406100) a × 95370 ÷ (300 + 406100) = 39220320
     Multiply both sides of the equation by:(300 + 406100)
     
154077
200
a (300 + 406100) + a × 286110 + a ×
1936011
5
÷ (300 + 406100) × (300 + 406100) a × 95370 ÷ (300 + 406100) = 39220320(300 + 406100)
    Remove a bracket on the left of the equation:
     
154077
200
a × 300 +
154077
200
a × 406
154077
200
a × 100 + a × 286110 + a = 39220320(300 + 406100)
    Remove a bracket on the right of the equation::
     
154077
200
a × 300 +
154077
200
a × 406
154077
200
a × 100 + a × 286110 + a = 39220320 × 300 + 39220320 × 40639220320 × 100

    
        a≈22748.483978 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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