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