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Simplifying 24X2 + -37X + -72 = 0 Reorder the terms: -72 + -37X + 24X2 = 0 Solving -72 + -37X + 24X2 = 0 Solving for variable 'X'. Factor a trinomial. (-9 + -8X)(8 + -3X) = 0Subproblem 1
Set the factor '(-9 + -8X)' equal to zero and attempt to solve: Simplifying -9 + -8X = 0 Solving -9 + -8X = 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 + -8X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8X = 0 + 9 -8X = 0 + 9 Combine like terms: 0 + 9 = 9 -8X = 9 Divide each side by '-8'. X = -1.125 Simplifying X = -1.125Subproblem 2
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 = 2.666666667Solution
X = {-1.125, 2.666666667}
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