x^2-56x-512=0

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Solution for x^2-56x-512=0 equation:


Simplifying
x2 + -56x + -512 = 0

Reorder the terms:
-512 + -56x + x2 = 0

Solving
-512 + -56x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(64 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(64 + -1x)' equal to zero and attempt to solve: Simplifying 64 + -1x = 0 Solving 64 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -1x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1x = 0 + -64 -1x = 0 + -64 Combine like terms: 0 + -64 = -64 -1x = -64 Divide each side by '-1'. x = 64 Simplifying x = 64

Solution

x = {-8, 64}

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