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Simplifying 6x(2x + 3) = 72 * 8x(5 + -3) Reorder the terms: 6x(3 + 2x) = 72 * 8x(5 + -3) (3 * 6x + 2x * 6x) = 72 * 8x(5 + -3) (18x + 12x2) = 72 * 8x(5 + -3) Combine like terms: 5 + -3 = 2 18x + 12x2 = 72 * 8x(2) Reorder the terms for easier multiplication: 18x + 12x2 = 72 * 8 * 2x Multiply 72 * 8 18x + 12x2 = 576 * 2x Multiply 576 * 2 18x + 12x2 = 1152x Solving 18x + 12x2 = 1152x Solving for variable 'x'. Reorder the terms: 18x + -1152x + 12x2 = 1152x + -1152x Combine like terms: 18x + -1152x = -1134x -1134x + 12x2 = 1152x + -1152x Combine like terms: 1152x + -1152x = 0 -1134x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-189 + 2x) = 0 Ignore the factor 6.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 '(-189 + 2x)' equal to zero and attempt to solve: Simplifying -189 + 2x = 0 Solving -189 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '189' to each side of the equation. -189 + 189 + 2x = 0 + 189 Combine like terms: -189 + 189 = 0 0 + 2x = 0 + 189 2x = 0 + 189 Combine like terms: 0 + 189 = 189 2x = 189 Divide each side by '2'. x = 94.5 Simplifying x = 94.5Solution
x = {0, 94.5}
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