0=x^2+82x-720

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Solution for 0=x^2+82x-720 equation:


Simplifying
0 = x2 + 82x + -720

Reorder the terms:
0 = -720 + 82x + x2

Solving
0 = -720 + 82x + x2

Solving for variable 'x'.

Combine like terms: 0 + 720 = 720
720 + -82x + -1x2 = -720 + 82x + x2 + 720 + -82x + -1x2

Reorder the terms:
720 + -82x + -1x2 = -720 + 720 + 82x + -82x + x2 + -1x2

Combine like terms: -720 + 720 = 0
720 + -82x + -1x2 = 0 + 82x + -82x + x2 + -1x2
720 + -82x + -1x2 = 82x + -82x + x2 + -1x2

Combine like terms: 82x + -82x = 0
720 + -82x + -1x2 = 0 + x2 + -1x2
720 + -82x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
720 + -82x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(90 + x) = 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 '(90 + x)' equal to zero and attempt to solve: Simplifying 90 + x = 0 Solving 90 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + x = 0 + -90 x = 0 + -90 Combine like terms: 0 + -90 = -90 x = -90 Simplifying x = -90

Solution

x = {8, -90}

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