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Simplifying 20x2 = 48 + 44x Solving 20x2 = 48 + 44x Solving for variable 'x'. Reorder the terms: -48 + -44x + 20x2 = 48 + 44x + -48 + -44x Reorder the terms: -48 + -44x + 20x2 = 48 + -48 + 44x + -44x Combine like terms: 48 + -48 = 0 -48 + -44x + 20x2 = 0 + 44x + -44x -48 + -44x + 20x2 = 44x + -44x Combine like terms: 44x + -44x = 0 -48 + -44x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -11x + 5x2) = 0 Factor a trinomial. 4((-4 + -5x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 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 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.8, 3}
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