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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 = 0Subproblem 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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