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Simplifying (2x + 11)(x + -5) = 0 Reorder the terms: (11 + 2x)(x + -5) = 0 Reorder the terms: (11 + 2x)(-5 + x) = 0 Multiply (11 + 2x) * (-5 + x) (11(-5 + x) + 2x * (-5 + x)) = 0 ((-5 * 11 + x * 11) + 2x * (-5 + x)) = 0 ((-55 + 11x) + 2x * (-5 + x)) = 0 (-55 + 11x + (-5 * 2x + x * 2x)) = 0 (-55 + 11x + (-10x + 2x2)) = 0 Combine like terms: 11x + -10x = 1x (-55 + 1x + 2x2) = 0 Solving -55 + 1x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -2x)(5 + -1x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 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 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 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 = {-5.5, 5}
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