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Simplifying 4x2 + 92x + 520 = 1512 Reorder the terms: 520 + 92x + 4x2 = 1512 Solving 520 + 92x + 4x2 = 1512 Solving for variable 'x'. Reorder the terms: 520 + -1512 + 92x + 4x2 = 1512 + -1512 Combine like terms: 520 + -1512 = -992 -992 + 92x + 4x2 = 1512 + -1512 Combine like terms: 1512 + -1512 = 0 -992 + 92x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-248 + 23x + x2) = 0 Factor a trinomial. 4((-31 + -1x)(8 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-31 + -1x)' equal to zero and attempt to solve: Simplifying -31 + -1x = 0 Solving -31 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1x = 0 + 31 -1x = 0 + 31 Combine like terms: 0 + 31 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-31, 8}
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