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Simplifying 16x2 + 36 = -48x Reorder the terms: 36 + 16x2 = -48x Solving 36 + 16x2 = -48x Solving for variable 'x'. Reorder the terms: 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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