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