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Simplifying 2028x2 + 2496x + 768 = 0 Reorder the terms: 768 + 2496x + 2028x2 = 0 Solving 768 + 2496x + 2028x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(64 + 208x + 169x2) = 0 Factor a trinomial. 12((8 + 13x)(8 + 13x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(8 + 13x)' equal to zero and attempt to solve: Simplifying 8 + 13x = 0 Solving 8 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 0 + -8 13x = 0 + -8 Combine like terms: 0 + -8 = -8 13x = -8 Divide each side by '13'. x = -0.6153846154 Simplifying x = -0.6153846154Subproblem 2
Set the factor '(8 + 13x)' equal to zero and attempt to solve: Simplifying 8 + 13x = 0 Solving 8 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 0 + -8 13x = 0 + -8 Combine like terms: 0 + -8 = -8 13x = -8 Divide each side by '13'. x = -0.6153846154 Simplifying x = -0.6153846154Solution
x = {-0.6153846154, -0.6153846154}
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