x*x+12x-8064=0

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Solution for x*x+12x-8064=0 equation:


Simplifying
x * x + 12x + -8064 = 0

Multiply x * x
x2 + 12x + -8064 = 0

Reorder the terms:
-8064 + 12x + x2 = 0

Solving
-8064 + 12x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-96 + -1x)(84 + -1x) = 0

Subproblem 1

Set the factor '(-96 + -1x)' equal to zero and attempt to solve: Simplifying -96 + -1x = 0 Solving -96 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + -1x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -1x = 0 + 96 -1x = 0 + 96 Combine like terms: 0 + 96 = 96 -1x = 96 Divide each side by '-1'. x = -96 Simplifying x = -96

Subproblem 2

Set the factor '(84 + -1x)' equal to zero and attempt to solve: Simplifying 84 + -1x = 0 Solving 84 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -1x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -1x = 0 + -84 -1x = 0 + -84 Combine like terms: 0 + -84 = -84 -1x = -84 Divide each side by '-1'. x = 84 Simplifying x = 84

Solution

x = {-96, 84}

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