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Simplifying 0 = (8x4) + -1(6x2) + -1(2x) Remove parenthesis around (6x2) 0 = (8x4) + -1 * 6x2 + -1(2x) Multiply -1 * 6 0 = (8x4) + -6x2 + -1(2x) Remove parenthesis around (2x) 0 = (8x4) + -6x2 + -1 * 2x Multiply -1 * 2 0 = (8x4) + -6x2 + -2x Reorder the terms: 0 = -2x + -6x2 + (8x4) Solving 0 = -2x + -6x2 + (8x4) Solving for variable 'x'. Remove the zero: 2x + 6x2 + (-8x4) = -2x + -6x2 + (8x4) + 2x + 6x2 + (-8x4) Reorder the terms: 2x + 6x2 + (-8x4) = -2x + 2x + -6x2 + 6x2 + (8x4) + (-8x4) Combine like terms: -2x + 2x = 0 2x + 6x2 + (-8x4) = 0 + -6x2 + 6x2 + (8x4) + (-8x4) 2x + 6x2 + (-8x4) = -6x2 + 6x2 + (8x4) + (-8x4) Combine like terms: -6x2 + 6x2 = 0 2x + 6x2 + (-8x4) = 0 + (8x4) + (-8x4) 2x + 6x2 + (-8x4) = (8x4) + (-8x4) Combine like terms: (8x4) + (-8x4) = 0 2x + 6x2 + (-8x4) = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + 3x + (-4x3)) = 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 '(1 + 3x + (-4x3))' equal to zero and attempt to solve: Simplifying 1 + 3x + (-4x3) = 0 Solving 1 + 3x + (-4x3) = 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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