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Simplifying 0 = 6x3 + -32x Reorder the terms: 0 = -32x + 6x3 Solving 0 = -32x + 6x3 Solving for variable 'x'. Remove the zero: 32x + -6x3 = -32x + 6x3 + 32x + -6x3 Reorder the terms: 32x + -6x3 = -32x + 32x + 6x3 + -6x3 Combine like terms: -32x + 32x = 0 32x + -6x3 = 0 + 6x3 + -6x3 32x + -6x3 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 32x + -6x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(16 + -3x2) = 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 '(16 + -3x2)' equal to zero and attempt to solve: Simplifying 16 + -3x2 = 0 Solving 16 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x2 = 0 + -16 -3x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -3x2 = -16 Divide each side by '-3'. x2 = 5.333333333 Simplifying x2 = 5.333333333 Take the square root of each side: x = {-2.309401077, 2.309401077}Solution
x = {0, -2.309401077, 2.309401077}
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