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Simplifying 512 + 96x + 4x2 = 1092 Solving 512 + 96x + 4x2 = 1092 Solving for variable 'x'. Reorder the terms: 512 + -1092 + 96x + 4x2 = 1092 + -1092 Combine like terms: 512 + -1092 = -580 -580 + 96x + 4x2 = 1092 + -1092 Combine like terms: 1092 + -1092 = 0 -580 + 96x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-145 + 24x + x2) = 0 Factor a trinomial. 4((-29 + -1x)(5 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-29, 5}
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