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Simplifying (2x + -11)(2x + 1) = 0 Reorder the terms: (-11 + 2x)(2x + 1) = 0 Reorder the terms: (-11 + 2x)(1 + 2x) = 0 Multiply (-11 + 2x) * (1 + 2x) (-11(1 + 2x) + 2x * (1 + 2x)) = 0 ((1 * -11 + 2x * -11) + 2x * (1 + 2x)) = 0 ((-11 + -22x) + 2x * (1 + 2x)) = 0 (-11 + -22x + (1 * 2x + 2x * 2x)) = 0 (-11 + -22x + (2x + 4x2)) = 0 Combine like terms: -22x + 2x = -20x (-11 + -20x + 4x2) = 0 Solving -11 + -20x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -2x)(11 + -2x) = 0Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
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 = 5.5Solution
x = {-0.5, 5.5}
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