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Simplifying 4x2 + -24x + -36 = 9 Reorder the terms: -36 + -24x + 4x2 = 9 Solving -36 + -24x + 4x2 = 9 Solving for variable 'x'. Reorder the terms: -36 + -9 + -24x + 4x2 = 9 + -9 Combine like terms: -36 + -9 = -45 -45 + -24x + 4x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -45 + -24x + 4x2 = 0 Factor a trinomial. (-3 + -2x)(15 + -2x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 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 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Solution
x = {-1.5, 7.5}
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