(x^2+2x-8)(2x-18)=0

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Solution for (x^2+2x-8)(2x-18)=0 equation:


Simplifying
(x2 + 2x + -8)(2x + -18) = 0

Reorder the terms:
(-8 + 2x + x2)(2x + -18) = 0

Reorder the terms:
(-8 + 2x + x2)(-18 + 2x) = 0

Multiply (-8 + 2x + x2) * (-18 + 2x)
(-8(-18 + 2x) + 2x * (-18 + 2x) + x2(-18 + 2x)) = 0
((-18 * -8 + 2x * -8) + 2x * (-18 + 2x) + x2(-18 + 2x)) = 0
((144 + -16x) + 2x * (-18 + 2x) + x2(-18 + 2x)) = 0
(144 + -16x + (-18 * 2x + 2x * 2x) + x2(-18 + 2x)) = 0
(144 + -16x + (-36x + 4x2) + x2(-18 + 2x)) = 0
(144 + -16x + -36x + 4x2 + (-18 * x2 + 2x * x2)) = 0
(144 + -16x + -36x + 4x2 + (-18x2 + 2x3)) = 0

Combine like terms: -16x + -36x = -52x
(144 + -52x + 4x2 + -18x2 + 2x3) = 0

Combine like terms: 4x2 + -18x2 = -14x2
(144 + -52x + -14x2 + 2x3) = 0

Solving
144 + -52x + -14x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(72 + -26x + -7x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(72 + -26x + -7x2 + x3)' equal to zero and attempt to solve: Simplifying 72 + -26x + -7x2 + x3 = 0 Solving 72 + -26x + -7x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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