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Simplifying 48 = (6x + -10) * 2x Reorder the terms: 48 = (-10 + 6x) * 2x Reorder the terms for easier multiplication: 48 = 2x(-10 + 6x) 48 = (-10 * 2x + 6x * 2x) 48 = (-20x + 12x2) Solving 48 = -20x + 12x2 Solving for variable 'x'. Reorder the terms: 48 + 20x + -12x2 = -20x + 20x + 12x2 + -12x2 Combine like terms: -20x + 20x = 0 48 + 20x + -12x2 = 0 + 12x2 + -12x2 48 + 20x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 48 + 20x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(12 + 5x + -3x2) = 0 Factor a trinomial. 4((3 + -1x)(4 + 3x)) = 0 Ignore the factor 4.Subproblem 1
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 = 3Subproblem 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 = {3, -1.333333333}
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