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Simplifying (x + -11)(2x + 5) = 0 Reorder the terms: (-11 + x)(2x + 5) = 0 Reorder the terms: (-11 + x)(5 + 2x) = 0 Multiply (-11 + x) * (5 + 2x) (-11(5 + 2x) + x(5 + 2x)) = 0 ((5 * -11 + 2x * -11) + x(5 + 2x)) = 0 ((-55 + -22x) + x(5 + 2x)) = 0 (-55 + -22x + (5 * x + 2x * x)) = 0 (-55 + -22x + (5x + 2x2)) = 0 Combine like terms: -22x + 5x = -17x (-55 + -17x + 2x2) = 0 Solving -55 + -17x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(11 + -1x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = {-2.5, 11}
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