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Simplifying 4x(3x + -22) = -96 Reorder the terms: 4x(-22 + 3x) = -96 (-22 * 4x + 3x * 4x) = -96 (-88x + 12x2) = -96 Solving -88x + 12x2 = -96 Solving for variable 'x'. Reorder the terms: 96 + -88x + 12x2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + -88x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + -22x + 3x2) = 0 Factor a trinomial. 4((4 + -3x)(6 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {1.333333333, 6}
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