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Simplifying x * x = (x + 4)(x + -4) + 16 Multiply x * x x2 = (x + 4)(x + -4) + 16 Reorder the terms: x2 = (4 + x)(x + -4) + 16 Reorder the terms: x2 = (4 + x)(-4 + x) + 16 Multiply (4 + x) * (-4 + x) x2 = (4(-4 + x) + x(-4 + x)) + 16 x2 = ((-4 * 4 + x * 4) + x(-4 + x)) + 16 x2 = ((-16 + 4x) + x(-4 + x)) + 16 x2 = (-16 + 4x + (-4 * x + x * x)) + 16 x2 = (-16 + 4x + (-4x + x2)) + 16 Combine like terms: 4x + -4x = 0 x2 = (-16 + 0 + x2) + 16 x2 = (-16 + x2) + 16 Reorder the terms: x2 = -16 + 16 + x2 Combine like terms: -16 + 16 = 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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