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Simplifying 72x2 + -55x + -150 = 0 Reorder the terms: -150 + -55x + 72x2 = 0 Solving -150 + -55x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -9x)(15 + -8x) = 0Subproblem 1
Set the factor '(-10 + -9x)' equal to zero and attempt to solve: Simplifying -10 + -9x = 0 Solving -10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 0 + 10 -9x = 0 + 10 Combine like terms: 0 + 10 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111Subproblem 2
Set the factor '(15 + -8x)' equal to zero and attempt to solve: Simplifying 15 + -8x = 0 Solving 15 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875Solution
x = {-1.111111111, 1.875}
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