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Simplifying 4(4X4 + -12X2 + 3) * exp * -1X2 = 0 Reorder the terms: 4(3 + -12X2 + 4X4) * exp * -1X2 = 0 Reorder the terms for easier multiplication: 4 * -1epx * X2(3 + -12X2 + 4X4) = 0 Multiply 4 * -1 -4epx * X2(3 + -12X2 + 4X4) = 0 Multiply epx * X2 -4epxX2(3 + -12X2 + 4X4) = 0 (3 * -4epxX2 + -12X2 * -4epxX2 + 4X4 * -4epxX2) = 0 (-12epxX2 + 48epxX4 + -16epxX6) = 0 Solving -12epxX2 + 48epxX4 + -16epxX6 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4epxX2'. 4epxX2(-3 + 12X2 + -4X4) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'epxX2' equal to zero and attempt to solve: Simplifying epxX2 = 0 Solving epxX2 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying epxX2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + 12X2 + -4X4)' equal to zero and attempt to solve: Simplifying -3 + 12X2 + -4X4 = 0 Solving -3 + 12X2 + -4X4 = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12X2 + 3 + -4X4 = 0 + 3 Reorder the terms: -3 + 3 + 12X2 + -4X4 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12X2 + -4X4 = 0 + 3 12X2 + -4X4 = 0 + 3 Combine like terms: 0 + 3 = 3 12X2 + -4X4 = 3 Add '-12X2' to each side of the equation. 12X2 + -12X2 + -4X4 = 3 + -12X2 Combine like terms: 12X2 + -12X2 = 0 0 + -4X4 = 3 + -12X2 -4X4 = 3 + -12X2 Add '4X4' to each side of the equation. -4X4 + 4X4 = 3 + -12X2 + 4X4 Combine like terms: -4X4 + 4X4 = 0 0 = 3 + -12X2 + 4X4 Simplifying 0 = 3 + -12X2 + 4X4 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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