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Simplifying x = 63 + x2(30) Reorder the terms for easier multiplication: x = 63 + 30x2 Solving x = 63 + 30x2 Solving for variable 'x'. Reorder the terms: -63 + x + -30x2 = 63 + 30x2 + -63 + -30x2 Reorder the terms: -63 + x + -30x2 = 63 + -63 + 30x2 + -30x2 Combine like terms: 63 + -63 = 0 -63 + x + -30x2 = 0 + 30x2 + -30x2 -63 + x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -63 + x + -30x2 = 0 Begin completing the square. Divide all terms by -30 the coefficient of the squared term: Divide each side by '-30'. 2.1 + -0.03333333333x + x2 = 0 Move the constant term to the right: Add '-2.1' to each side of the equation. 2.1 + -0.03333333333x + -2.1 + x2 = 0 + -2.1 Reorder the terms: 2.1 + -2.1 + -0.03333333333x + x2 = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.03333333333x + x2 = 0 + -2.1 -0.03333333333x + x2 = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 -0.03333333333x + x2 = -2.1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.03333333333x + 0.25 + x2 = -2.1 + 0.25 Reorder the terms: 0.25 + -0.03333333333x + x2 = -2.1 + 0.25 Combine like terms: -2.1 + 0.25 = -1.85 0.25 + -0.03333333333x + x2 = -1.85 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.85 Can't calculate square root of the right side. The solution to this equation could not be determined.
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