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Simplifying (1.25x + -0.06)(1.25x + 0.06) = 0 Reorder the terms: (-0.06 + 1.25x)(1.25x + 0.06) = 0 Reorder the terms: (-0.06 + 1.25x)(0.06 + 1.25x) = 0 Multiply (-0.06 + 1.25x) * (0.06 + 1.25x) (-0.06(0.06 + 1.25x) + 1.25x * (0.06 + 1.25x)) = 0 ((0.06 * -0.06 + 1.25x * -0.06) + 1.25x * (0.06 + 1.25x)) = 0 ((-0.0036 + -0.075x) + 1.25x * (0.06 + 1.25x)) = 0 (-0.0036 + -0.075x + (0.06 * 1.25x + 1.25x * 1.25x)) = 0 (-0.0036 + -0.075x + (0.075x + 1.5625x2)) = 0 Combine like terms: -0.075x + 0.075x = 0.000 (-0.0036 + 0.000 + 1.5625x2) = 0 (-0.0036 + 1.5625x2) = 0 Solving -0.0036 + 1.5625x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.0036' to each side of the equation. -0.0036 + 0.0036 + 1.5625x2 = 0 + 0.0036 Combine like terms: -0.0036 + 0.0036 = 0.0000 0.0000 + 1.5625x2 = 0 + 0.0036 1.5625x2 = 0 + 0.0036 Combine like terms: 0 + 0.0036 = 0.0036 1.5625x2 = 0.0036 Divide each side by '1.5625'. x2 = 0.002304 Simplifying x2 = 0.002304 Take the square root of each side: x = {-0.048, 0.048}
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