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Simplifying 3x(7x + -20) = 96 Reorder the terms: 3x(-20 + 7x) = 96 (-20 * 3x + 7x * 3x) = 96 (-60x + 21x2) = 96 Solving -60x + 21x2 = 96 Solving for variable 'x'. Reorder the terms: -96 + -60x + 21x2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + -60x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-32 + -20x + 7x2) = 0 Factor a trinomial. 3((-8 + -7x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1.142857143, 4}
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