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Simplifying (x + -2)(2x + 1) = 0 Reorder the terms: (-2 + x)(2x + 1) = 0 Reorder the terms: (-2 + x)(1 + 2x) = 0 Multiply (-2 + x) * (1 + 2x) (-2(1 + 2x) + x(1 + 2x)) = 0 ((1 * -2 + 2x * -2) + x(1 + 2x)) = 0 ((-2 + -4x) + x(1 + 2x)) = 0 (-2 + -4x + (1 * x + 2x * x)) = 0 (-2 + -4x + (1x + 2x2)) = 0 Combine like terms: -4x + 1x = -3x (-2 + -3x + 2x2) = 0 Solving -2 + -3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -2x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.5, 2}
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