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Simplifying 48x2 + -19x + -60 = 0 Reorder the terms: -60 + -19x + 48x2 = 0 Solving -60 + -19x + 48x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -16x)(4 + -3x) = 0Subproblem 1
Set the factor '(-15 + -16x)' equal to zero and attempt to solve: Simplifying -15 + -16x = 0 Solving -15 + -16x = 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 + -16x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = 0 + 15 -16x = 0 + 15 Combine like terms: 0 + 15 = 15 -16x = 15 Divide each side by '-16'. x = -0.9375 Simplifying x = -0.9375Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-0.9375, 1.333333333}
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