132=x(x-1)

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Solution for 132=x(x-1) equation:


Simplifying
132 = x(x + -1)

Reorder the terms:
132 = x(-1 + x)
132 = (-1 * x + x * x)
132 = (-1x + x2)

Solving
132 = -1x + x2

Solving for variable 'x'.

Reorder the terms:
132 + x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
132 + x + -1x2 = 0 + x2 + -1x2
132 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
132 + x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(11 + x) = 0

Subproblem 1

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Subproblem 2

Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Solution

x = {12, -11}

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