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Simplifying x(6 * 6 * 6 + 2x) * 4 + -2x = 0 Multiply 6 * 6 x(36 * 6 + 2x) * 4 + -2x = 0 Multiply 36 * 6 x(216 + 2x) * 4 + -2x = 0 Reorder the terms for easier multiplication: 4x(216 + 2x) + -2x = 0 (216 * 4x + 2x * 4x) + -2x = 0 (864x + 8x2) + -2x = 0 Reorder the terms: 864x + -2x + 8x2 = 0 Combine like terms: 864x + -2x = 862x 862x + 8x2 = 0 Solving 862x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(431 + 4x) = 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 '(431 + 4x)' equal to zero and attempt to solve: Simplifying 431 + 4x = 0 Solving 431 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-431' to each side of the equation. 431 + -431 + 4x = 0 + -431 Combine like terms: 431 + -431 = 0 0 + 4x = 0 + -431 4x = 0 + -431 Combine like terms: 0 + -431 = -431 4x = -431 Divide each side by '4'. x = -107.75 Simplifying x = -107.75Solution
x = {0, -107.75}
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