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Simplifying 9x2 + -24x + 16 = 144 Reorder the terms: 16 + -24x + 9x2 = 144 Solving 16 + -24x + 9x2 = 144 Solving for variable 'x'. Reorder the terms: 16 + -144 + -24x + 9x2 = 144 + -144 Combine like terms: 16 + -144 = -128 -128 + -24x + 9x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -128 + -24x + 9x2 = 0 Factor a trinomial. (-8 + -3x)(16 + -3x) = 0Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 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 = {-2.666666667, 5.333333333}
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