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Simplifying -36x2 + 48x = 15 Reorder the terms: 48x + -36x2 = 15 Solving 48x + -36x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + 48x + -36x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 48x + -36x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 16x + -12x2) = 0 Factor a trinomial. 3((-5 + 6x)(1 + -2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + 6x)' equal to zero and attempt to solve: Simplifying -5 + 6x = 0 Solving -5 + 6x = 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 + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 0 + 5 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.8333333333, 0.5}
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