-9x^2+10x=-8x

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Solution for -9x^2+10x=-8x equation: 


Simplifying
-9x2 + 10x = -8x

Reorder the terms:
10x + -9x2 = -8x

Solving
10x + -9x2 = -8x

Solving for variable 'x'.

Reorder the terms:
10x + 8x + -9x2 = -8x + 8x

Combine like terms: 10x + 8x = 18x
18x + -9x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
18x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(2 + -1x) = 0

Ignore the factor 9.

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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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