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Simplifying 3x2 + 5x + -288 = 0 Reorder the terms: -288 + 5x + 3x2 = 0 Solving -288 + 5x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-32 + -3x)(9 + -1x) = 0Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve: Simplifying -32 + -3x = 0 Solving -32 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -3x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = 0 + 32 -3x = 0 + 32 Combine like terms: 0 + 32 = 32 -3x = 32 Divide each side by '-3'. x = -10.66666667 Simplifying x = -10.66666667Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-10.66666667, 9}
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