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Simplifying 8x2 + -12x + -4896 = 0 Reorder the terms: -4896 + -12x + 8x2 = 0 Solving -4896 + -12x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1224 + -3x + 2x2) = 0 Factor a trinomial. 4((-24 + -1x)(51 + -2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24Subproblem 2
Set the factor '(51 + -2x)' equal to zero and attempt to solve: Simplifying 51 + -2x = 0 Solving 51 + -2x = 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 + -2x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -2x = 0 + -51 -2x = 0 + -51 Combine like terms: 0 + -51 = -51 -2x = -51 Divide each side by '-2'. x = 25.5 Simplifying x = 25.5Solution
x = {-24, 25.5}
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