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Simplifying -16x2 + -44x = 18 Reorder the terms: -44x + -16x2 = 18 Solving -44x + -16x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + -44x + -16x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -44x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(9 + 22x + 8x2) = 0 Factor a trinomial. -2((9 + 4x)(1 + 2x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 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 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-2.25, -0.5}
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