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Simplifying (5x + 5)(10x + -10) = 0 Reorder the terms: (5 + 5x)(10x + -10) = 0 Reorder the terms: (5 + 5x)(-10 + 10x) = 0 Multiply (5 + 5x) * (-10 + 10x) (5(-10 + 10x) + 5x * (-10 + 10x)) = 0 ((-10 * 5 + 10x * 5) + 5x * (-10 + 10x)) = 0 ((-50 + 50x) + 5x * (-10 + 10x)) = 0 (-50 + 50x + (-10 * 5x + 10x * 5x)) = 0 (-50 + 50x + (-50x + 50x2)) = 0 Combine like terms: 50x + -50x = 0 (-50 + 0 + 50x2) = 0 (-50 + 50x2) = 0 Solving -50 + 50x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 50x2 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 50x2 = 0 + 50 50x2 = 0 + 50 Combine like terms: 0 + 50 = 50 50x2 = 50 Divide each side by '50'. x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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