(-x^2+8x-9)(x^2-x)=

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


Simplifying
(-1x2 + 8x + -9)(x2 + -1x) = 0

Reorder the terms:
(-9 + 8x + -1x2)(x2 + -1x) = 0

Reorder the terms:
(-9 + 8x + -1x2)(-1x + x2) = 0

Multiply (-9 + 8x + -1x2) * (-1x + x2)
(-9(-1x + x2) + 8x * (-1x + x2) + -1x2 * (-1x + x2)) = 0
((-1x * -9 + x2 * -9) + 8x * (-1x + x2) + -1x2 * (-1x + x2)) = 0
((9x + -9x2) + 8x * (-1x + x2) + -1x2 * (-1x + x2)) = 0
(9x + -9x2 + (-1x * 8x + x2 * 8x) + -1x2 * (-1x + x2)) = 0
(9x + -9x2 + (-8x2 + 8x3) + -1x2 * (-1x + x2)) = 0
(9x + -9x2 + -8x2 + 8x3 + (-1x * -1x2 + x2 * -1x2)) = 0
(9x + -9x2 + -8x2 + 8x3 + (1x3 + -1x4)) = 0

Combine like terms: -9x2 + -8x2 = -17x2
(9x + -17x2 + 8x3 + 1x3 + -1x4) = 0

Combine like terms: 8x3 + 1x3 = 9x3
(9x + -17x2 + 9x3 + -1x4) = 0

Solving
9x + -17x2 + 9x3 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -17x + 9x2 + -1x3) = 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 '(9 + -17x + 9x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
9 + -17x + 9x2 + -1x3 = 0

Solving
9 + -17x + 9x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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