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Simplifying 25x2 + -27x = -5x2 + -8x + -10 Reorder the terms: -27x + 25x2 = -5x2 + -8x + -10 Reorder the terms: -27x + 25x2 = -10 + -8x + -5x2 Solving -27x + 25x2 = -10 + -8x + -5x2 Solving for variable 'x'. Reorder the terms: 10 + -27x + 8x + 25x2 + 5x2 = -10 + -8x + -5x2 + 10 + 8x + 5x2 Combine like terms: -27x + 8x = -19x 10 + -19x + 25x2 + 5x2 = -10 + -8x + -5x2 + 10 + 8x + 5x2 Combine like terms: 25x2 + 5x2 = 30x2 10 + -19x + 30x2 = -10 + -8x + -5x2 + 10 + 8x + 5x2 Reorder the terms: 10 + -19x + 30x2 = -10 + 10 + -8x + 8x + -5x2 + 5x2 Combine like terms: -10 + 10 = 0 10 + -19x + 30x2 = 0 + -8x + 8x + -5x2 + 5x2 10 + -19x + 30x2 = -8x + 8x + -5x2 + 5x2 Combine like terms: -8x + 8x = 0 10 + -19x + 30x2 = 0 + -5x2 + 5x2 10 + -19x + 30x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 10 + -19x + 30x2 = 0 Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 0.3333333333 + -0.6333333333x + x2 = 0.0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.6333333333x + -0.3333333333 + x2 = 0.0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.6333333333x + x2 = 0.0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.6333333333x + x2 = 0.0 + -0.3333333333 -0.6333333333x + x2 = 0.0 + -0.3333333333 Combine like terms: 0.0 + -0.3333333333 = -0.3333333333 -0.6333333333x + x2 = -0.3333333333 The x term is -0.6333333333x. Take half its coefficient (-0.3166666667). Square it (0.1002777778) and add it to both sides. Add '0.1002777778' to each side of the equation. -0.6333333333x + 0.1002777778 + x2 = -0.3333333333 + 0.1002777778 Reorder the terms: 0.1002777778 + -0.6333333333x + x2 = -0.3333333333 + 0.1002777778 Combine like terms: -0.3333333333 + 0.1002777778 = -0.2330555555 0.1002777778 + -0.6333333333x + x2 = -0.2330555555 Factor a perfect square on the left side: (x + -0.3166666667)(x + -0.3166666667) = -0.2330555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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