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Simplifying 0 = (11x + 5)(-11x + 12) Reorder the terms: 0 = (5 + 11x)(-11x + 12) Reorder the terms: 0 = (5 + 11x)(12 + -11x) Multiply (5 + 11x) * (12 + -11x) 0 = (5(12 + -11x) + 11x * (12 + -11x)) 0 = ((12 * 5 + -11x * 5) + 11x * (12 + -11x)) 0 = ((60 + -55x) + 11x * (12 + -11x)) 0 = (60 + -55x + (12 * 11x + -11x * 11x)) 0 = (60 + -55x + (132x + -121x2)) Combine like terms: -55x + 132x = 77x 0 = (60 + 77x + -121x2) Solving 0 = 60 + 77x + -121x2 Solving for variable 'x'. Combine like terms: 0 + -60 = -60 -60 + -77x + 121x2 = 60 + 77x + -121x2 + -60 + -77x + 121x2 Reorder the terms: -60 + -77x + 121x2 = 60 + -60 + 77x + -77x + -121x2 + 121x2 Combine like terms: 60 + -60 = 0 -60 + -77x + 121x2 = 0 + 77x + -77x + -121x2 + 121x2 -60 + -77x + 121x2 = 77x + -77x + -121x2 + 121x2 Combine like terms: 77x + -77x = 0 -60 + -77x + 121x2 = 0 + -121x2 + 121x2 -60 + -77x + 121x2 = -121x2 + 121x2 Combine like terms: -121x2 + 121x2 = 0 -60 + -77x + 121x2 = 0 Factor a trinomial. (-5 + -11x)(12 + -11x) = 0Subproblem 1
Set the factor '(-5 + -11x)' equal to zero and attempt to solve: Simplifying -5 + -11x = 0 Solving -5 + -11x = 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 + -11x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 0 + 5 -11x = 0 + 5 Combine like terms: 0 + 5 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545Subproblem 2
Set the factor '(12 + -11x)' equal to zero and attempt to solve: Simplifying 12 + -11x = 0 Solving 12 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -11x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 0 + -12 -11x = 0 + -12 Combine like terms: 0 + -12 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091Solution
x = {-0.4545454545, 1.090909091}
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