(2x-4)(x^2-2x+5)=

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Solution for (2x-4)(x^2-2x+5)= equation:


Simplifying
(2x + -4)(x2 + -2x + 5) = 0

Reorder the terms:
(-4 + 2x)(x2 + -2x + 5) = 0

Reorder the terms:
(-4 + 2x)(5 + -2x + x2) = 0

Multiply (-4 + 2x) * (5 + -2x + x2)
(-4(5 + -2x + x2) + 2x * (5 + -2x + x2)) = 0
((5 * -4 + -2x * -4 + x2 * -4) + 2x * (5 + -2x + x2)) = 0
((-20 + 8x + -4x2) + 2x * (5 + -2x + x2)) = 0
(-20 + 8x + -4x2 + (5 * 2x + -2x * 2x + x2 * 2x)) = 0
(-20 + 8x + -4x2 + (10x + -4x2 + 2x3)) = 0

Reorder the terms:
(-20 + 8x + 10x + -4x2 + -4x2 + 2x3) = 0

Combine like terms: 8x + 10x = 18x
(-20 + 18x + -4x2 + -4x2 + 2x3) = 0

Combine like terms: -4x2 + -4x2 = -8x2
(-20 + 18x + -8x2 + 2x3) = 0

Solving
-20 + 18x + -8x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 9x + -4x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + 9x + -4x2 + x3)' equal to zero and attempt to solve: Simplifying -10 + 9x + -4x2 + x3 = 0 Solving -10 + 9x + -4x2 + 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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