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Simplifying (10x + -2)(10x + 2) = 0 Reorder the terms: (-2 + 10x)(10x + 2) = 0 Reorder the terms: (-2 + 10x)(2 + 10x) = 0 Multiply (-2 + 10x) * (2 + 10x) (-2(2 + 10x) + 10x * (2 + 10x)) = 0 ((2 * -2 + 10x * -2) + 10x * (2 + 10x)) = 0 ((-4 + -20x) + 10x * (2 + 10x)) = 0 (-4 + -20x + (2 * 10x + 10x * 10x)) = 0 (-4 + -20x + (20x + 100x2)) = 0 Combine like terms: -20x + 20x = 0 (-4 + 0 + 100x2) = 0 (-4 + 100x2) = 0 Solving -4 + 100x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 100x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 100x2 = 0 + 4 100x2 = 0 + 4 Combine like terms: 0 + 4 = 4 100x2 = 4 Divide each side by '100'. x2 = 0.04 Simplifying x2 = 0.04 Take the square root of each side: x = {-0.2, 0.2}
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