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