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Simplifying (x + -0.5)(x + 0.5) = 0 Reorder the terms: (-0.5 + x)(x + 0.5) = 0 Reorder the terms: (-0.5 + x)(0.5 + x) = 0 Multiply (-0.5 + x) * (0.5 + x) (-0.5(0.5 + x) + x(0.5 + x)) = 0 ((0.5 * -0.5 + x * -0.5) + x(0.5 + x)) = 0 ((-0.25 + -0.5x) + x(0.5 + x)) = 0 (-0.25 + -0.5x + (0.5 * x + x * x)) = 0 (-0.25 + -0.5x + (0.5x + x2)) = 0 Combine like terms: -0.5x + 0.5x = 0.0 (-0.25 + 0.0 + x2) = 0 (-0.25 + x2) = 0 Solving -0.25 + x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + x2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + x2 = 0 + 0.25 x2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 x2 = 0.25 Simplifying x2 = 0.25 Take the square root of each side: x = {-0.5, 0.5}
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