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Simplifying 48x2 + 44x = 60 Reorder the terms: 44x + 48x2 = 60 Solving 44x + 48x2 = 60 Solving for variable 'x'. Reorder the terms: -60 + 44x + 48x2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 44x + 48x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + 11x + 12x2) = 0 Factor a trinomial. 4((-5 + -3x)(3 + -4x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-1.666666667, 0.75}
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