(x^2-x+9)(x^2-5x)=0

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Solution for (x^2-x+9)(x^2-5x)=0 equation:


Simplifying
(x2 + -1x + 9)(x2 + -5x) = 0

Reorder the terms:
(9 + -1x + x2)(x2 + -5x) = 0

Reorder the terms:
(9 + -1x + x2)(-5x + x2) = 0

Multiply (9 + -1x + x2) * (-5x + x2)
(9(-5x + x2) + -1x * (-5x + x2) + x2(-5x + x2)) = 0
((-5x * 9 + x2 * 9) + -1x * (-5x + x2) + x2(-5x + x2)) = 0
((-45x + 9x2) + -1x * (-5x + x2) + x2(-5x + x2)) = 0
(-45x + 9x2 + (-5x * -1x + x2 * -1x) + x2(-5x + x2)) = 0
(-45x + 9x2 + (5x2 + -1x3) + x2(-5x + x2)) = 0
(-45x + 9x2 + 5x2 + -1x3 + (-5x * x2 + x2 * x2)) = 0
(-45x + 9x2 + 5x2 + -1x3 + (-5x3 + x4)) = 0

Combine like terms: 9x2 + 5x2 = 14x2
(-45x + 14x2 + -1x3 + -5x3 + x4) = 0

Combine like terms: -1x3 + -5x3 = -6x3
(-45x + 14x2 + -6x3 + x4) = 0

Solving
-45x + 14x2 + -6x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-45 + 14x + -6x2 + x3) = 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 '(-45 + 14x + -6x2 + x3)' equal to zero and attempt to solve: Simplifying -45 + 14x + -6x2 + x3 = 0 Solving -45 + 14x + -6x2 + x3 = 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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