(2x^3+7x^2+x)(2x^2-4x-12)=

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Solution for (2x^3+7x^2+x)(2x^2-4x-12)= equation:


Simplifying
(2x3 + 7x2 + x)(2x2 + -4x + -12) = 0

Reorder the terms:
(x + 7x2 + 2x3)(2x2 + -4x + -12) = 0

Reorder the terms:
(x + 7x2 + 2x3)(-12 + -4x + 2x2) = 0

Multiply (x + 7x2 + 2x3) * (-12 + -4x + 2x2)
(x(-12 + -4x + 2x2) + 7x2 * (-12 + -4x + 2x2) + 2x3 * (-12 + -4x + 2x2)) = 0
((-12 * x + -4x * x + 2x2 * x) + 7x2 * (-12 + -4x + 2x2) + 2x3 * (-12 + -4x + 2x2)) = 0
((-12x + -4x2 + 2x3) + 7x2 * (-12 + -4x + 2x2) + 2x3 * (-12 + -4x + 2x2)) = 0
(-12x + -4x2 + 2x3 + (-12 * 7x2 + -4x * 7x2 + 2x2 * 7x2) + 2x3 * (-12 + -4x + 2x2)) = 0
(-12x + -4x2 + 2x3 + (-84x2 + -28x3 + 14x4) + 2x3 * (-12 + -4x + 2x2)) = 0
(-12x + -4x2 + 2x3 + -84x2 + -28x3 + 14x4 + (-12 * 2x3 + -4x * 2x3 + 2x2 * 2x3)) = 0
(-12x + -4x2 + 2x3 + -84x2 + -28x3 + 14x4 + (-24x3 + -8x4 + 4x5)) = 0

Reorder the terms:
(-12x + -4x2 + -84x2 + 2x3 + -28x3 + -24x3 + 14x4 + -8x4 + 4x5) = 0

Combine like terms: -4x2 + -84x2 = -88x2
(-12x + -88x2 + 2x3 + -28x3 + -24x3 + 14x4 + -8x4 + 4x5) = 0

Combine like terms: 2x3 + -28x3 = -26x3
(-12x + -88x2 + -26x3 + -24x3 + 14x4 + -8x4 + 4x5) = 0

Combine like terms: -26x3 + -24x3 = -50x3
(-12x + -88x2 + -50x3 + 14x4 + -8x4 + 4x5) = 0

Combine like terms: 14x4 + -8x4 = 6x4
(-12x + -88x2 + -50x3 + 6x4 + 4x5) = 0

Solving
-12x + -88x2 + -50x3 + 6x4 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + -44x + -25x2 + 3x3 + 2x4) = 0

Ignore the factor 2.

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 '(-6 + -44x + -25x2 + 3x3 + 2x4)' equal to zero and attempt to solve: Simplifying -6 + -44x + -25x2 + 3x3 + 2x4 = 0 Solving -6 + -44x + -25x2 + 3x3 + 2x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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