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Simplifying (-7x3 + -9x3 + 6)(4x2 + -1x) = 0 Reorder the terms: (6 + -7x3 + -9x3)(4x2 + -1x) = 0 Combine like terms: -7x3 + -9x3 = -16x3 (6 + -16x3)(4x2 + -1x) = 0 Reorder the terms: (6 + -16x3)(-1x + 4x2) = 0 Multiply (6 + -16x3) * (-1x + 4x2) (6(-1x + 4x2) + -16x3 * (-1x + 4x2)) = 0 ((-1x * 6 + 4x2 * 6) + -16x3 * (-1x + 4x2)) = 0 ((-6x + 24x2) + -16x3 * (-1x + 4x2)) = 0 (-6x + 24x2 + (-1x * -16x3 + 4x2 * -16x3)) = 0 (-6x + 24x2 + (16x4 + -64x5)) = 0 (-6x + 24x2 + 16x4 + -64x5) = 0 Solving -6x + 24x2 + 16x4 + -64x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 12x + 8x3 + -32x4) = 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 '(-3 + 12x + 8x3 + -32x4)' equal to zero and attempt to solve: Simplifying -3 + 12x + 8x3 + -32x4 = 0 Solving -3 + 12x + 8x3 + -32x4 = 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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