x(x-12)=85

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Solution for x(x-12)=85 equation:


Simplifying
x(x + -12) = 85

Reorder the terms:
x(-12 + x) = 85
(-12 * x + x * x) = 85
(-12x + x2) = 85

Solving
-12x + x2 = 85

Solving for variable 'x'.

Reorder the terms:
-85 + -12x + x2 = 85 + -85

Combine like terms: 85 + -85 = 0
-85 + -12x + x2 = 0

Factor a trinomial.
(-5 + -1x)(17 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {-5, 17}

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