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Simplifying (0.8x + 2)(0.8x + -2) = 0 Reorder the terms: (2 + 0.8x)(0.8x + -2) = 0 Reorder the terms: (2 + 0.8x)(-2 + 0.8x) = 0 Multiply (2 + 0.8x) * (-2 + 0.8x) (2(-2 + 0.8x) + 0.8x * (-2 + 0.8x)) = 0 ((-2 * 2 + 0.8x * 2) + 0.8x * (-2 + 0.8x)) = 0 ((-4 + 1.6x) + 0.8x * (-2 + 0.8x)) = 0 (-4 + 1.6x + (-2 * 0.8x + 0.8x * 0.8x)) = 0 (-4 + 1.6x + (-1.6x + 0.64x2)) = 0 Combine like terms: 1.6x + -1.6x = 0.0 (-4 + 0.0 + 0.64x2) = 0 (-4 + 0.64x2) = 0 Solving -4 + 0.64x2 = 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 + 0.64x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 0.64x2 = 0 + 4 0.64x2 = 0 + 4 Combine like terms: 0 + 4 = 4 0.64x2 = 4 Divide each side by '0.64'. x2 = 6.25 Simplifying x2 = 6.25 Take the square root of each side: x = {-2.5, 2.5}
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