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Simplifying 8x2 + 24x + -19584 = 0 Reorder the terms: -19584 + 24x + 8x2 = 0 Solving -19584 + 24x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-2448 + 3x + x2) = 0 Factor a trinomial. 8((-51 + -1x)(48 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-51 + -1x)' equal to zero and attempt to solve: Simplifying -51 + -1x = 0 Solving -51 + -1x = 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 + -1x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = 0 + 51 -1x = 0 + 51 Combine like terms: 0 + 51 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48Solution
x = {-51, 48}
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