80=(x-5)(x+11)

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Solution for 80=(x-5)(x+11) equation:


Simplifying
80 = (x + -5)(x + 11)

Reorder the terms:
80 = (-5 + x)(x + 11)

Reorder the terms:
80 = (-5 + x)(11 + x)

Multiply (-5 + x) * (11 + x)
80 = (-5(11 + x) + x(11 + x))
80 = ((11 * -5 + x * -5) + x(11 + x))
80 = ((-55 + -5x) + x(11 + x))
80 = (-55 + -5x + (11 * x + x * x))
80 = (-55 + -5x + (11x + x2))

Combine like terms: -5x + 11x = 6x
80 = (-55 + 6x + x2)

Solving
80 = -55 + 6x + x2

Solving for variable 'x'.

Combine like terms: 80 + 55 = 135
135 + -6x + -1x2 = -55 + 6x + x2 + 55 + -6x + -1x2

Reorder the terms:
135 + -6x + -1x2 = -55 + 55 + 6x + -6x + x2 + -1x2

Combine like terms: -55 + 55 = 0
135 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
135 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
135 + -6x + -1x2 = 0 + x2 + -1x2
135 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
135 + -6x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(15 + x) = 0

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15

Solution

x = {9, -15}

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