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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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