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Simplifying [2x + 1][x + 2] = 0 Reorder the terms: [1 + 2x][x + 2] = 0 Reorder the terms: [1 + 2x][2 + x] = 0 Multiply [1 + 2x] * [2 + x] [1[2 + x] + 2x * [2 + x]] = 0 [[2 * 1 + x * 1] + 2x * [2 + x]] = 0 [[2 + 1x] + 2x * [2 + x]] = 0 [2 + 1x + [2 * 2x + x * 2x]] = 0 [2 + 1x + [4x + 2x2]] = 0 Combine like terms: 1x + 4x = 5x [2 + 5x + 2x2] = 0 Solving 2 + 5x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(1 + 2x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
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 = -0.5Solution
x = {-2, -0.5}
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