12x^2-5x=-2x

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Solution for 12x^2-5x=-2x equation:


Simplifying
12x2 + -5x = -2x

Reorder the terms:
-5x + 12x2 = -2x

Solving
-5x + 12x2 = -2x

Solving for variable 'x'.

Reorder the terms:
-5x + 2x + 12x2 = -2x + 2x

Combine like terms: -5x + 2x = -3x
-3x + 12x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-3x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + 4x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25

Solution

x = {0, 0.25}

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