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