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Simplifying x2 + 2x + -1.25 = (x + -0.5)(x + 2.5) Reorder the terms: -1.25 + 2x + x2 = (x + -0.5)(x + 2.5) Reorder the terms: -1.25 + 2x + x2 = (-0.5 + x)(x + 2.5) Reorder the terms: -1.25 + 2x + x2 = (-0.5 + x)(2.5 + x) Multiply (-0.5 + x) * (2.5 + x) -1.25 + 2x + x2 = (-0.5(2.5 + x) + x(2.5 + x)) -1.25 + 2x + x2 = ((2.5 * -0.5 + x * -0.5) + x(2.5 + x)) -1.25 + 2x + x2 = ((-1.25 + -0.5x) + x(2.5 + x)) -1.25 + 2x + x2 = (-1.25 + -0.5x + (2.5 * x + x * x)) -1.25 + 2x + x2 = (-1.25 + -0.5x + (2.5x + x2)) Combine like terms: -0.5x + 2.5x = 2x -1.25 + 2x + x2 = (-1.25 + 2x + x2) Add '1.25' to each side of the equation. -1.25 + 2x + 1.25 + x2 = -1.25 + 2x + 1.25 + x2 Reorder the terms: -1.25 + 1.25 + 2x + x2 = -1.25 + 2x + 1.25 + x2 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 2x + x2 = -1.25 + 2x + 1.25 + x2 2x + x2 = -1.25 + 2x + 1.25 + x2 Reorder the terms: 2x + x2 = -1.25 + 1.25 + 2x + x2 Combine like terms: -1.25 + 1.25 = 0.00 2x + x2 = 0.00 + 2x + x2 2x + x2 = 2x + x2 Add '-2x' to each side of the equation. 2x + -2x + x2 = 2x + -2x + x2 Combine like terms: 2x + -2x = 0 0 + x2 = 2x + -2x + x2 x2 = 2x + -2x + x2 Combine like terms: 2x + -2x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 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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