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Simplifying 0 = (4 + -1x)(4 + x) Multiply (4 + -1x) * (4 + x) 0 = (4(4 + x) + -1x * (4 + x)) 0 = ((4 * 4 + x * 4) + -1x * (4 + x)) 0 = ((16 + 4x) + -1x * (4 + x)) 0 = (16 + 4x + (4 * -1x + x * -1x)) 0 = (16 + 4x + (-4x + -1x2)) Combine like terms: 4x + -4x = 0 0 = (16 + 0 + -1x2) 0 = (16 + -1x2) Solving 0 = 16 + -1x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x2' to each side of the equation. 0 + x2 = 16 + -1x2 + x2 Remove the zero: x2 = 16 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 x2 = 16 + 0 x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}
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