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Simplifying (x + 4)(x + -4) = 0 Reorder the terms: (4 + x)(x + -4) = 0 Reorder the terms: (4 + x)(-4 + x) = 0 Multiply (4 + x) * (-4 + x) (4(-4 + x) + x(-4 + x)) = 0 ((-4 * 4 + x * 4) + x(-4 + x)) = 0 ((-16 + 4x) + x(-4 + x)) = 0 (-16 + 4x + (-4 * x + x * x)) = 0 (-16 + 4x + (-4x + x2)) = 0 Combine like terms: 4x + -4x = 0 (-16 + 0 + x2) = 0 (-16 + x2) = 0 Solving -16 + x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x2 = 0 + 16 x2 = 0 + 16 Combine like terms: 0 + 16 = 16 x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}
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