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Simplifying x(3x + 2) = 96 Reorder the terms: x(2 + 3x) = 96 (2 * x + 3x * x) = 96 (2x + 3x2) = 96 Solving 2x + 3x2 = 96 Solving for variable 'x'. Reorder the terms: -96 + 2x + 3x2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + 2x + 3x2 = 0 Factor a trinomial. (-6 + -1x)(16 + -3x) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(16 + -3x)' equal to zero and attempt to solve: Simplifying 16 + -3x = 0 Solving 16 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 0 + -16 -3x = 0 + -16 Combine like terms: 0 + -16 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333Solution
x = {-6, 5.333333333}
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