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Simplifying 0 = 4x3(2 + -1x) 0 = (2 * 4x3 + -1x * 4x3) 0 = (8x3 + -4x4) Solving 0 = 8x3 + -4x4 Solving for variable 'x'. Remove the zero: -8x3 + 4x4 = 8x3 + -4x4 + -8x3 + 4x4 Reorder the terms: -8x3 + 4x4 = 8x3 + -8x3 + -4x4 + 4x4 Combine like terms: 8x3 + -8x3 = 0 -8x3 + 4x4 = 0 + -4x4 + 4x4 -8x3 + 4x4 = -4x4 + 4x4 Combine like terms: -4x4 + 4x4 = 0 -8x3 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '4x3'. 4x3(-2 + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {2}
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