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Simplifying 2x2 + -10x + -143 = -11 Reorder the terms: -143 + -10x + 2x2 = -11 Solving -143 + -10x + 2x2 = -11 Solving for variable 'x'. Reorder the terms: -143 + 11 + -10x + 2x2 = -11 + 11 Combine like terms: -143 + 11 = -132 -132 + -10x + 2x2 = -11 + 11 Combine like terms: -11 + 11 = 0 -132 + -10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-66 + -5x + x2) = 0 Factor a trinomial. 2((-6 + -1x)(11 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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 = {-6, 11}
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