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Simplifying (x + -11)(-1x + 5) = 0 Reorder the terms: (-11 + x)(-1x + 5) = 0 Reorder the terms: (-11 + x)(5 + -1x) = 0 Multiply (-11 + x) * (5 + -1x) (-11(5 + -1x) + x(5 + -1x)) = 0 ((5 * -11 + -1x * -11) + x(5 + -1x)) = 0 ((-55 + 11x) + x(5 + -1x)) = 0 (-55 + 11x + (5 * x + -1x * x)) = 0 (-55 + 11x + (5x + -1x2)) = 0 Combine like terms: 11x + 5x = 16x (-55 + 16x + -1x2) = 0 Solving -55 + 16x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 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 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Simplifying x = 11Subproblem 2
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 = 5Solution
x = {11, 5}
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