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Simplifying (25x * 25x) + 30x + 8 = 0 Reorder the terms for easier multiplication: (25 * 25x * x) + 30x + 8 = 0 Multiply 25 * 25 (625x * x) + 30x + 8 = 0 Multiply x * x (625x2) + 30x + 8 = 0 Reorder the terms: 8 + 30x + (625x2) = 0 Solving 8 + 30x + (625x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 625 the coefficient of the squared term: Divide each side by '625'. 0.0128 + 0.048x + x2 = 0 Move the constant term to the right: Add '-0.0128' to each side of the equation. 0.0128 + 0.048x + -0.0128 + x2 = 0 + -0.0128 Reorder the terms: 0.0128 + -0.0128 + 0.048x + x2 = 0 + -0.0128 Combine like terms: 0.0128 + -0.0128 = 0.0000 0.0000 + 0.048x + x2 = 0 + -0.0128 0.048x + x2 = 0 + -0.0128 Combine like terms: 0 + -0.0128 = -0.0128 0.048x + x2 = -0.0128 The x term is 0.048x. Take half its coefficient (0.024). Square it (0.000576) and add it to both sides. Add '0.000576' to each side of the equation. 0.048x + 0.000576 + x2 = -0.0128 + 0.000576 Reorder the terms: 0.000576 + 0.048x + x2 = -0.0128 + 0.000576 Combine like terms: -0.0128 + 0.000576 = -0.012224 0.000576 + 0.048x + x2 = -0.012224 Factor a perfect square on the left side: ((x) + 0.024)((x) + 0.024) = -0.012224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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