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Simplifying (x + 100)(x + -100) = 0 Reorder the terms: (100 + x)(x + -100) = 0 Reorder the terms: (100 + x)(-100 + x) = 0 Multiply (100 + x) * (-100 + x) (100(-100 + x) + x(-100 + x)) = 0 ((-100 * 100 + x * 100) + x(-100 + x)) = 0 ((-10000 + 100x) + x(-100 + x)) = 0 (-10000 + 100x + (-100 * x + x * x)) = 0 (-10000 + 100x + (-100x + x2)) = 0 Combine like terms: 100x + -100x = 0 (-10000 + 0 + x2) = 0 (-10000 + x2) = 0 Solving -10000 + x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10000' to each side of the equation. -10000 + 10000 + x2 = 0 + 10000 Combine like terms: -10000 + 10000 = 0 0 + x2 = 0 + 10000 x2 = 0 + 10000 Combine like terms: 0 + 10000 = 10000 x2 = 10000 Simplifying x2 = 10000 Take the square root of each side: x = {-100, 100}
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