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Simplifying x2 + -11x + 7x + 15 = 180 Reorder the terms: 15 + -11x + 7x + x2 = 180 Combine like terms: -11x + 7x = -4x 15 + -4x + x2 = 180 Solving 15 + -4x + x2 = 180 Solving for variable 'x'. Reorder the terms: 15 + -180 + -4x + x2 = 180 + -180 Combine like terms: 15 + -180 = -165 -165 + -4x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -165 + -4x + x2 = 0 Factor a trinomial. (-11 + -1x)(15 + -1x) = 0Subproblem 1
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 = -11Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-11, 15}
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