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Simplifying 8x2 + 6x + -1224 = 0 Reorder the terms: -1224 + 6x + 8x2 = 0 Solving -1224 + 6x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-612 + 3x + 4x2) = 0 Factor a trinomial. 2((-51 + -4x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-51 + -4x)' equal to zero and attempt to solve: Simplifying -51 + -4x = 0 Solving -51 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -4x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -4x = 0 + 51 -4x = 0 + 51 Combine like terms: 0 + 51 = 51 -4x = 51 Divide each side by '-4'. x = -12.75 Simplifying x = -12.75Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-12.75, 12}
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