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Simplifying x3 + -12x3 + 32x = 0 Reorder the terms: 32x + x3 + -12x3 = 0 Combine like terms: x3 + -12x3 = -11x3 32x + -11x3 = 0 Solving 32x + -11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(32 + -11x2) = 0Subproblem 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 '(32 + -11x2)' equal to zero and attempt to solve: Simplifying 32 + -11x2 = 0 Solving 32 + -11x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -11x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -11x2 = 0 + -32 -11x2 = 0 + -32 Combine like terms: 0 + -32 = -32 -11x2 = -32 Divide each side by '-11'. x2 = 2.909090909 Simplifying x2 = 2.909090909 Take the square root of each side: x = {-1.705605731, 1.705605731}Solution
x = {0, -1.705605731, 1.705605731}
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