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Simplifying 6x4 + -3x2(x2 + -2x) = 0 Reorder the terms: 6x4 + -3x2(-2x + x2) = 0 6x4 + (-2x * -3x2 + x2 * -3x2) = 0 6x4 + (6x3 + -3x4) = 0 Reorder the terms: 6x3 + 6x4 + -3x4 = 0 Combine like terms: 6x4 + -3x4 = 3x4 6x3 + 3x4 = 0 Solving 6x3 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x3'. 3x3(2 + x) = 0 Ignore the factor 3.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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