X^2-12=-X

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Solution for X^2-12=-X equation:


Simplifying
X2 + -12 = -1X

Reorder the terms:
-12 + X2 = -1X

Solving
-12 + X2 = -1X

Solving for variable 'X'.

Reorder the terms:
-12 + X + X2 = -1X + X

Combine like terms: -1X + X = 0
-12 + X + X2 = 0

Factor a trinomial.
(-4 + -1X)(3 + -1X) = 0

Subproblem 1

Set the factor '(-4 + -1X)' equal to zero and attempt to solve: Simplifying -4 + -1X = 0 Solving -4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = 0 + 4 -1X = 0 + 4 Combine like terms: 0 + 4 = 4 -1X = 4 Divide each side by '-1'. X = -4 Simplifying X = -4

Subproblem 2

Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3

Solution

X = {-4, 3}

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