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Simplifying (3x + 20)(x) = 672 Reorder the terms: (20 + 3x)(x) = 672 Reorder the terms for easier multiplication: x(20 + 3x) = 672 (20 * x + 3x * x) = 672 (20x + 3x2) = 672 Solving 20x + 3x2 = 672 Solving for variable 'x'. Reorder the terms: -672 + 20x + 3x2 = 672 + -672 Combine like terms: 672 + -672 = 0 -672 + 20x + 3x2 = 0 Factor a trinomial. (-56 + -3x)(12 + -1x) = 0Subproblem 1
Set the factor '(-56 + -3x)' equal to zero and attempt to solve: Simplifying -56 + -3x = 0 Solving -56 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -3x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -3x = 0 + 56 -3x = 0 + 56 Combine like terms: 0 + 56 = 56 -3x = 56 Divide each side by '-3'. x = -18.66666667 Simplifying x = -18.66666667Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-18.66666667, 12}
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