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Simplifying 2x2 + 5x + -3 = (2x + -1)(x + 3) Reorder the terms: -3 + 5x + 2x2 = (2x + -1)(x + 3) Reorder the terms: -3 + 5x + 2x2 = (-1 + 2x)(x + 3) Reorder the terms: -3 + 5x + 2x2 = (-1 + 2x)(3 + x) Multiply (-1 + 2x) * (3 + x) -3 + 5x + 2x2 = (-1(3 + x) + 2x * (3 + x)) -3 + 5x + 2x2 = ((3 * -1 + x * -1) + 2x * (3 + x)) -3 + 5x + 2x2 = ((-3 + -1x) + 2x * (3 + x)) -3 + 5x + 2x2 = (-3 + -1x + (3 * 2x + x * 2x)) -3 + 5x + 2x2 = (-3 + -1x + (6x + 2x2)) Combine like terms: -1x + 6x = 5x -3 + 5x + 2x2 = (-3 + 5x + 2x2) Add '3' to each side of the equation. -3 + 5x + 3 + 2x2 = -3 + 5x + 3 + 2x2 Reorder the terms: -3 + 3 + 5x + 2x2 = -3 + 5x + 3 + 2x2 Combine like terms: -3 + 3 = 0 0 + 5x + 2x2 = -3 + 5x + 3 + 2x2 5x + 2x2 = -3 + 5x + 3 + 2x2 Reorder the terms: 5x + 2x2 = -3 + 3 + 5x + 2x2 Combine like terms: -3 + 3 = 0 5x + 2x2 = 0 + 5x + 2x2 5x + 2x2 = 5x + 2x2 Add '-5x' to each side of the equation. 5x + -5x + 2x2 = 5x + -5x + 2x2 Combine like terms: 5x + -5x = 0 0 + 2x2 = 5x + -5x + 2x2 2x2 = 5x + -5x + 2x2 Combine like terms: 5x + -5x = 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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