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Simplifying 6x2 + 5x + -144 = 0 Reorder the terms: -144 + 5x + 6x2 = 0 Solving -144 + 5x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -3x)(9 + -2x) = 0Subproblem 1
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 = -5.333333333Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-5.333333333, 4.5}
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