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Simplifying 25x * 25x + 36 = -60x Reorder the terms for easier multiplication: 25 * 25x * x + 36 = -60x Multiply 25 * 25 625x * x + 36 = -60x Multiply x * x 625x2 + 36 = -60x Reorder the terms: 36 + 625x2 = -60x Solving 36 + 625x2 = -60x Solving for variable 'x'. Reorder the terms: 36 + 60x + 625x2 = -60x + 60x Combine like terms: -60x + 60x = 0 36 + 60x + 625x2 = 0 Begin completing the square. Divide all terms by 625 the coefficient of the squared term: Divide each side by '625'. 0.0576 + 0.096x + x2 = 0 Move the constant term to the right: Add '-0.0576' to each side of the equation. 0.0576 + 0.096x + -0.0576 + x2 = 0 + -0.0576 Reorder the terms: 0.0576 + -0.0576 + 0.096x + x2 = 0 + -0.0576 Combine like terms: 0.0576 + -0.0576 = 0.0000 0.0000 + 0.096x + x2 = 0 + -0.0576 0.096x + x2 = 0 + -0.0576 Combine like terms: 0 + -0.0576 = -0.0576 0.096x + x2 = -0.0576 The x term is 0.096x. Take half its coefficient (0.048). Square it (0.002304) and add it to both sides. Add '0.002304' to each side of the equation. 0.096x + 0.002304 + x2 = -0.0576 + 0.002304 Reorder the terms: 0.002304 + 0.096x + x2 = -0.0576 + 0.002304 Combine like terms: -0.0576 + 0.002304 = -0.055296 0.002304 + 0.096x + x2 = -0.055296 Factor a perfect square on the left side: (x + 0.048)(x + 0.048) = -0.055296 Can't calculate square root of the right side. The solution to this equation could not be determined.
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