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Simplifying (x + 1)(2x + -3) = 2x2 + -1x + -3 Reorder the terms: (1 + x)(2x + -3) = 2x2 + -1x + -3 Reorder the terms: (1 + x)(-3 + 2x) = 2x2 + -1x + -3 Multiply (1 + x) * (-3 + 2x) (1(-3 + 2x) + x(-3 + 2x)) = 2x2 + -1x + -3 ((-3 * 1 + 2x * 1) + x(-3 + 2x)) = 2x2 + -1x + -3 ((-3 + 2x) + x(-3 + 2x)) = 2x2 + -1x + -3 (-3 + 2x + (-3 * x + 2x * x)) = 2x2 + -1x + -3 (-3 + 2x + (-3x + 2x2)) = 2x2 + -1x + -3 Combine like terms: 2x + -3x = -1x (-3 + -1x + 2x2) = 2x2 + -1x + -3 Reorder the terms: -3 + -1x + 2x2 = -3 + -1x + 2x2 Add '3' to each side of the equation. -3 + -1x + 3 + 2x2 = -3 + -1x + 3 + 2x2 Reorder the terms: -3 + 3 + -1x + 2x2 = -3 + -1x + 3 + 2x2 Combine like terms: -3 + 3 = 0 0 + -1x + 2x2 = -3 + -1x + 3 + 2x2 -1x + 2x2 = -3 + -1x + 3 + 2x2 Reorder the terms: -1x + 2x2 = -3 + 3 + -1x + 2x2 Combine like terms: -3 + 3 = 0 -1x + 2x2 = 0 + -1x + 2x2 -1x + 2x2 = -1x + 2x2 Add 'x' to each side of the equation. -1x + x + 2x2 = -1x + x + 2x2 Combine like terms: -1x + x = 0 0 + 2x2 = -1x + x + 2x2 2x2 = -1x + x + 2x2 Combine like terms: -1x + x = 0 2x2 = 0 + 2x2 2x2 = 2x2 Add '-2x2' to each side of the equation. 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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