x^2+120x-432000=0

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Solution for x^2+120x-432000=0 equation:


Simplifying
x2 + 120x + -432000 = 0

Reorder the terms:
-432000 + 120x + x2 = 0

Solving
-432000 + 120x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-720 + -1x)(600 + -1x) = 0

Subproblem 1

Set the factor '(-720 + -1x)' equal to zero and attempt to solve: Simplifying -720 + -1x = 0 Solving -720 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '720' to each side of the equation. -720 + 720 + -1x = 0 + 720 Combine like terms: -720 + 720 = 0 0 + -1x = 0 + 720 -1x = 0 + 720 Combine like terms: 0 + 720 = 720 -1x = 720 Divide each side by '-1'. x = -720 Simplifying x = -720

Subproblem 2

Set the factor '(600 + -1x)' equal to zero and attempt to solve: Simplifying 600 + -1x = 0 Solving 600 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -1x = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -1x = 0 + -600 -1x = 0 + -600 Combine like terms: 0 + -600 = -600 -1x = -600 Divide each side by '-1'. x = 600 Simplifying x = 600

Solution

x = {-720, 600}

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