0=x^2+2x-80

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Solution for 0=x^2+2x-80 equation:


Simplifying
0 = x2 + 2x + -80

Reorder the terms:
0 = -80 + 2x + x2

Solving
0 = -80 + 2x + x2

Solving for variable 'x'.

Combine like terms: 0 + 80 = 80
80 + -2x + -1x2 = -80 + 2x + x2 + 80 + -2x + -1x2

Reorder the terms:
80 + -2x + -1x2 = -80 + 80 + 2x + -2x + x2 + -1x2

Combine like terms: -80 + 80 = 0
80 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
80 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
80 + -2x + -1x2 = 0 + x2 + -1x2
80 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
80 + -2x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(10 + 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10

Solution

x = {8, -10}

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