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