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Simplifying (2x + -1)(x + 3) = 5x + -8 Reorder the terms: (-1 + 2x)(x + 3) = 5x + -8 Reorder the terms: (-1 + 2x)(3 + x) = 5x + -8 Multiply (-1 + 2x) * (3 + x) (-1(3 + x) + 2x * (3 + x)) = 5x + -8 ((3 * -1 + x * -1) + 2x * (3 + x)) = 5x + -8 ((-3 + -1x) + 2x * (3 + x)) = 5x + -8 (-3 + -1x + (3 * 2x + x * 2x)) = 5x + -8 (-3 + -1x + (6x + 2x2)) = 5x + -8 Combine like terms: -1x + 6x = 5x (-3 + 5x + 2x2) = 5x + -8 Reorder the terms: -3 + 5x + 2x2 = -8 + 5x Add '-5x' to each side of the equation. -3 + 5x + -5x + 2x2 = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 0 + 2x2 = -8 + 5x + -5x -3 + 2x2 = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x2 = -8 + 0 -3 + 2x2 = -8 Solving -3 + 2x2 = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x2 = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 2x2 = -8 + 3 2x2 = -8 + 3 Combine like terms: -8 + 3 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 Reorder the terms: 2.5 + x2 = -2.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 2.5 + x2 = 0.0 The solution to this equation could not be determined.
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