(2x^2+2x-6)(3x-4)=

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Solution for (2x^2+2x-6)(3x-4)= equation:


Simplifying
(2x2 + 2x + -6)(3x + -4) = 0

Reorder the terms:
(-6 + 2x + 2x2)(3x + -4) = 0

Reorder the terms:
(-6 + 2x + 2x2)(-4 + 3x) = 0

Multiply (-6 + 2x + 2x2) * (-4 + 3x)
(-6(-4 + 3x) + 2x * (-4 + 3x) + 2x2 * (-4 + 3x)) = 0
((-4 * -6 + 3x * -6) + 2x * (-4 + 3x) + 2x2 * (-4 + 3x)) = 0
((24 + -18x) + 2x * (-4 + 3x) + 2x2 * (-4 + 3x)) = 0
(24 + -18x + (-4 * 2x + 3x * 2x) + 2x2 * (-4 + 3x)) = 0
(24 + -18x + (-8x + 6x2) + 2x2 * (-4 + 3x)) = 0
(24 + -18x + -8x + 6x2 + (-4 * 2x2 + 3x * 2x2)) = 0
(24 + -18x + -8x + 6x2 + (-8x2 + 6x3)) = 0

Combine like terms: -18x + -8x = -26x
(24 + -26x + 6x2 + -8x2 + 6x3) = 0

Combine like terms: 6x2 + -8x2 = -2x2
(24 + -26x + -2x2 + 6x3) = 0

Solving
24 + -26x + -2x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -13x + -1x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(12 + -13x + -1x2 + 3x3)' equal to zero and attempt to solve: Simplifying 12 + -13x + -1x2 + 3x3 = 0 Solving 12 + -13x + -1x2 + 3x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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