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