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Simplifying -33x(5 + 8x) = 12x * 2 (5 * -33x + 8x * -33x) = 12x * 2 (-165x + -264x2) = 12x * 2 Reorder the terms for easier multiplication: -165x + -264x2 = 12 * 2x Multiply 12 * 2 -165x + -264x2 = 24x Solving -165x + -264x2 = 24x Solving for variable 'x'. Reorder the terms: -165x + -24x + -264x2 = 24x + -24x Combine like terms: -165x + -24x = -189x -189x + -264x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -189x + -264x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(63 + 88x) = 0 Ignore the factor -3.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 '(63 + 88x)' equal to zero and attempt to solve: Simplifying 63 + 88x = 0 Solving 63 + 88x = 0 Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 88x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 88x = 0 + -63 88x = 0 + -63 Combine like terms: 0 + -63 = -63 88x = -63 Divide each side by '88'. x = -0.7159090909 Simplifying x = -0.7159090909Solution
x = {0, -0.7159090909}
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