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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 849.671h+(225.6+21.5)*(9+h)/(12+h) = 26063.809 .
    Question type: Equation
    Solution:Original question:
     
849671
1000
h + (
1128
5
+
43
2
)(9 + h ) ÷ (12 + h ) =
26063809
1000
     Multiply both sides of the equation by:(12 + h )
     
849671
1000
h (12 + h ) + (
1128
5
+
43
2
)(9 + h ) =
26063809
1000
(12 + h )
    Remove a bracket on the left of the equation::
     
849671
1000
h × 12 +
849671
1000
h h + (
1128
5
+
43
2
)(9 + h ) =
26063809
1000
(12 + h )
    Remove a bracket on the right of the equation::
     
849671
1000
h × 12 +
849671
1000
h h + (
1128
5
+
43
2
)(9 + h ) =
26063809
1000
× 12 +
26063809
1000
h
    The equation is reduced to :
     
2549013
250
h +
849671
1000
h h + (
1128
5
+
43
2
)(9 + h ) =
78191427
250
+
26063809
1000
h
    Remove a bracket on the left of the equation:
     
2549013
250
h +
849671
1000
h h +
1128
5
(9 + h ) +
43
2
(9 + h ) =
78191427
250
+
26063809
1000
h
    Remove a bracket on the left of the equation:
     
2549013
250
h +
849671
1000
h h +
1128
5
× 9 +
1128
5
h +
43
2
(9 + h ) =
78191427
250
+
26063809
1000
h
    The equation is reduced to :
     
2549013
250
h +
849671
1000
h h +
10152
5
+
1128
5
h +
43
2
(9 + h ) =
78191427
250
+
26063809
1000
h
    The equation is reduced to :
     
2605413
250
h +
849671
1000
h h +
10152
5
+
43
2
(9 + h ) =
78191427
250
+
26063809
1000
h
    Remove a bracket on the left of the equation:
     
2605413
250
h +
849671
1000
h h +
10152
5
+
43
2
× 9 +
43
2
h =
78191427
250
+
26063809
1000
h
    The equation is reduced to :
     
2605413
250
h +
849671
1000
h h +
10152
5
+
387
2
+
43
2
h =
78191427
250
+
26063809
1000
h
    The equation is reduced to :
     
1305394
125
h +
849671
1000
h h +
22239
10
=
78191427
250
+
26063809
1000
h

    
        h≈30.404934 , 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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