12x^2-28x=24

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Solution for 12x^2-28x=24 equation:


Simplifying
12x2 + -28x = 24

Reorder the terms:
-28x + 12x2 = 24

Solving
-28x + 12x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + -28x + 12x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -28x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + -7x + 3x2) = 0

Factor a trinomial.
4((-2 + -3x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667

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 = {-0.6666666667, 3}

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