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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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