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Simplifying 28x + 12 = -16x2 Reorder the terms: 12 + 28x = -16x2 Solving 12 + 28x = -16x2 Solving for variable 'x'. Combine like terms: -16x2 + 16x2 = 0 12 + 28x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + 7x + 4x2) = 0 Factor a trinomial. 4((1 + x)(3 + 4x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-1, -0.75}
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