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Simplifying 16x2 = 48x + -36 Reorder the terms: 16x2 = -36 + 48x Solving 16x2 = -36 + 48x Solving for variable 'x'. Reorder the terms: 36 + -48x + 16x2 = -36 + 48x + 36 + -48x Reorder the terms: 36 + -48x + 16x2 = -36 + 36 + 48x + -48x Combine like terms: -36 + 36 = 0 36 + -48x + 16x2 = 0 + 48x + -48x 36 + -48x + 16x2 = 48x + -48x Combine like terms: 48x + -48x = 0 36 + -48x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -12x + 4x2) = 0 Factor a trinomial. 4((3 + -2x)(3 + -2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.5, 1.5}
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