80=(x+2)(x)

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Solution for 80=(x+2)(x) equation:


Simplifying
80 = (x + 2)(x)

Reorder the terms:
80 = (2 + x)(x)

Reorder the terms for easier multiplication:
80 = x(2 + x)
80 = (2 * x + x * x)
80 = (2x + x2)

Solving
80 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
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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