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Simplifying 12x2 + 84 = -64x Reorder the terms: 84 + 12x2 = -64x Solving 84 + 12x2 = -64x Solving for variable 'x'. Reorder the terms: 84 + 64x + 12x2 = -64x + 64x Combine like terms: -64x + 64x = 0 84 + 64x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(21 + 16x + 3x2) = 0 Factor a trinomial. 4((3 + x)(7 + 3x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {-3, -2.333333333}
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