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Simplifying x2 + -3x + -4 = (x + -4)(x + 1) Reorder the terms: -4 + -3x + x2 = (x + -4)(x + 1) Reorder the terms: -4 + -3x + x2 = (-4 + x)(x + 1) Reorder the terms: -4 + -3x + x2 = (-4 + x)(1 + x) Multiply (-4 + x) * (1 + x) -4 + -3x + x2 = (-4(1 + x) + x(1 + x)) -4 + -3x + x2 = ((1 * -4 + x * -4) + x(1 + x)) -4 + -3x + x2 = ((-4 + -4x) + x(1 + x)) -4 + -3x + x2 = (-4 + -4x + (1 * x + x * x)) -4 + -3x + x2 = (-4 + -4x + (1x + x2)) Combine like terms: -4x + 1x = -3x -4 + -3x + x2 = (-4 + -3x + x2) Add '4' to each side of the equation. -4 + -3x + 4 + x2 = -4 + -3x + 4 + x2 Reorder the terms: -4 + 4 + -3x + x2 = -4 + -3x + 4 + x2 Combine like terms: -4 + 4 = 0 0 + -3x + x2 = -4 + -3x + 4 + x2 -3x + x2 = -4 + -3x + 4 + x2 Reorder the terms: -3x + x2 = -4 + 4 + -3x + x2 Combine like terms: -4 + 4 = 0 -3x + x2 = 0 + -3x + x2 -3x + x2 = -3x + x2 Add '3x' to each side of the equation. -3x + 3x + x2 = -3x + 3x + x2 Combine like terms: -3x + 3x = 0 0 + x2 = -3x + 3x + x2 x2 = -3x + 3x + x2 Combine like terms: -3x + 3x = 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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