4(X^2+12X-64)=0

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Solution for 4(X^2+12X-64)=0 equation:


Simplifying
4(X2 + 12X + -64) = 0

Reorder the terms:
4(-64 + 12X + X2) = 0
(-64 * 4 + 12X * 4 + X2 * 4) = 0
(-256 + 48X + 4X2) = 0

Solving
-256 + 48X + 4X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-64 + 12X + X2) = 0

Factor a trinomial.
4((-16 + -1X)(4 + -1X)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-16 + -1X)' equal to zero and attempt to solve: Simplifying -16 + -1X = 0 Solving -16 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1X = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1X = 0 + 16 -1X = 0 + 16 Combine like terms: 0 + 16 = 16 -1X = 16 Divide each side by '-1'. X = -16 Simplifying X = -16

Subproblem 2

Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4

Solution

X = {-16, 4}

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