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Simplifying 2(10x + -8)(5x + 4) = 0 Reorder the terms: 2(-8 + 10x)(5x + 4) = 0 Reorder the terms: 2(-8 + 10x)(4 + 5x) = 0 Multiply (-8 + 10x) * (4 + 5x) 2(-8(4 + 5x) + 10x * (4 + 5x)) = 0 2((4 * -8 + 5x * -8) + 10x * (4 + 5x)) = 0 2((-32 + -40x) + 10x * (4 + 5x)) = 0 2(-32 + -40x + (4 * 10x + 5x * 10x)) = 0 2(-32 + -40x + (40x + 50x2)) = 0 Combine like terms: -40x + 40x = 0 2(-32 + 0 + 50x2) = 0 2(-32 + 50x2) = 0 (-32 * 2 + 50x2 * 2) = 0 (-64 + 100x2) = 0 Solving -64 + 100x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 100x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 100x2 = 0 + 64 100x2 = 0 + 64 Combine like terms: 0 + 64 = 64 100x2 = 64 Divide each side by '100'. x2 = 0.64 Simplifying x2 = 0.64 Take the square root of each side: x = {-0.8, 0.8}
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