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Simplifying 44 = (2x + -3) * x Reorder the terms: 44 = (-3 + 2x) * x Reorder the terms for easier multiplication: 44 = x(-3 + 2x) 44 = (-3 * x + 2x * x) 44 = (-3x + 2x2) Solving 44 = -3x + 2x2 Solving for variable 'x'. Reorder the terms: 44 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 44 + 3x + -2x2 = 0 + 2x2 + -2x2 44 + 3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 44 + 3x + -2x2 = 0 Factor a trinomial. (11 + -2x)(4 + x) = 0Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {5.5, -4}
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