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Simplifying 9x2 + -54x + -505 = -10 Reorder the terms: -505 + -54x + 9x2 = -10 Solving -505 + -54x + 9x2 = -10 Solving for variable 'x'. Reorder the terms: -505 + 10 + -54x + 9x2 = -10 + 10 Combine like terms: -505 + 10 = -495 -495 + -54x + 9x2 = -10 + 10 Combine like terms: -10 + 10 = 0 -495 + -54x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-55 + -6x + x2) = 0 Factor a trinomial. 9((-5 + -1x)(11 + -1x)) = 0 Ignore the factor 9.Subproblem 1
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 = -5Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-5, 11}
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