-3x^2-12=-4x^2-4x

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Solution for -3x^2-12=-4x^2-4x equation:


Simplifying
-3x2 + -12 = -4x2 + -4x

Reorder the terms:
-12 + -3x2 = -4x2 + -4x

Reorder the terms:
-12 + -3x2 = -4x + -4x2

Solving
-12 + -3x2 = -4x + -4x2

Solving for variable 'x'.

Reorder the terms:
-12 + 4x + -3x2 + 4x2 = -4x + -4x2 + 4x + 4x2

Combine like terms: -3x2 + 4x2 = 1x2
-12 + 4x + 1x2 = -4x + -4x2 + 4x + 4x2

Reorder the terms:
-12 + 4x + 1x2 = -4x + 4x + -4x2 + 4x2

Combine like terms: -4x + 4x = 0
-12 + 4x + 1x2 = 0 + -4x2 + 4x2
-12 + 4x + 1x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-12 + 4x + 1x2 = 0

Factor a trinomial.
(-6 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-6, 2}

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