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Simplifying 2x3 + 11x2 + 4x + -5 = (x + 5)(2x2 + x + -1) Reorder the terms: -5 + 4x + 11x2 + 2x3 = (x + 5)(2x2 + x + -1) Reorder the terms: -5 + 4x + 11x2 + 2x3 = (5 + x)(2x2 + x + -1) Reorder the terms: -5 + 4x + 11x2 + 2x3 = (5 + x)(-1 + x + 2x2) Multiply (5 + x) * (-1 + x + 2x2) -5 + 4x + 11x2 + 2x3 = (5(-1 + x + 2x2) + x(-1 + x + 2x2)) -5 + 4x + 11x2 + 2x3 = ((-1 * 5 + x * 5 + 2x2 * 5) + x(-1 + x + 2x2)) -5 + 4x + 11x2 + 2x3 = ((-5 + 5x + 10x2) + x(-1 + x + 2x2)) -5 + 4x + 11x2 + 2x3 = (-5 + 5x + 10x2 + (-1 * x + x * x + 2x2 * x)) -5 + 4x + 11x2 + 2x3 = (-5 + 5x + 10x2 + (-1x + x2 + 2x3)) Reorder the terms: -5 + 4x + 11x2 + 2x3 = (-5 + 5x + -1x + 10x2 + x2 + 2x3) Combine like terms: 5x + -1x = 4x -5 + 4x + 11x2 + 2x3 = (-5 + 4x + 10x2 + x2 + 2x3) Combine like terms: 10x2 + x2 = 11x2 -5 + 4x + 11x2 + 2x3 = (-5 + 4x + 11x2 + 2x3) Add '5' to each side of the equation. -5 + 4x + 11x2 + 5 + 2x3 = -5 + 4x + 11x2 + 5 + 2x3 Reorder the terms: -5 + 5 + 4x + 11x2 + 2x3 = -5 + 4x + 11x2 + 5 + 2x3 Combine like terms: -5 + 5 = 0 0 + 4x + 11x2 + 2x3 = -5 + 4x + 11x2 + 5 + 2x3 4x + 11x2 + 2x3 = -5 + 4x + 11x2 + 5 + 2x3 Reorder the terms: 4x + 11x2 + 2x3 = -5 + 5 + 4x + 11x2 + 2x3 Combine like terms: -5 + 5 = 0 4x + 11x2 + 2x3 = 0 + 4x + 11x2 + 2x3 4x + 11x2 + 2x3 = 4x + 11x2 + 2x3 Add '-4x' to each side of the equation. 4x + 11x2 + -4x + 2x3 = 4x + 11x2 + -4x + 2x3 Reorder the terms: 4x + -4x + 11x2 + 2x3 = 4x + 11x2 + -4x + 2x3 Combine like terms: 4x + -4x = 0 0 + 11x2 + 2x3 = 4x + 11x2 + -4x + 2x3 11x2 + 2x3 = 4x + 11x2 + -4x + 2x3 Reorder the terms: 11x2 + 2x3 = 4x + -4x + 11x2 + 2x3 Combine like terms: 4x + -4x = 0 11x2 + 2x3 = 0 + 11x2 + 2x3 11x2 + 2x3 = 11x2 + 2x3 Add '-11x2' to each side of the equation. 11x2 + -11x2 + 2x3 = 11x2 + -11x2 + 2x3 Combine like terms: 11x2 + -11x2 = 0 0 + 2x3 = 11x2 + -11x2 + 2x3 2x3 = 11x2 + -11x2 + 2x3 Combine like terms: 11x2 + -11x2 = 0 2x3 = 0 + 2x3 2x3 = 2x3 Add '-2x3' to each side of the equation. 2x3 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 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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