x=8x+10x+x(-7x+5)

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Solution for x=8x+10x+x(-7x+5) equation: 


Simplifying
x = 8x + 10x + x(-7x + 5)

Reorder the terms:
x = 8x + 10x + x(5 + -7x)
x = 8x + 10x + (5 * x + -7x * x)
x = 8x + 10x + (5x + -7x2)

Combine like terms: 8x + 10x = 18x
x = 18x + 5x + -7x2

Combine like terms: 18x + 5x = 23x
x = 23x + -7x2

Solving
x = 23x + -7x2

Solving for variable 'x'.

Combine like terms: x + -23x = -22x
-22x + 7x2 = 23x + -7x2 + -23x + 7x2

Reorder the terms:
-22x + 7x2 = 23x + -23x + -7x2 + 7x2

Combine like terms: 23x + -23x = 0
-22x + 7x2 = 0 + -7x2 + 7x2
-22x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-22x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-22 + 7x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-22 + 7x)' equal to zero and attempt to solve:

Simplifying
-22 + 7x = 0

Solving
-22 + 7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '22' to each side of the equation.
-22 + 22 + 7x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 7x = 0 + 22
7x = 0 + 22

Combine like terms: 0 + 22 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143
Solution
x = {0, 3.142857143}

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