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Simplifying x + -5x2 = 36 Solving x + -5x2 = 36 Solving for variable 'x'. Reorder the terms: -36 + x + -5x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 7.2 + -0.2x + x2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + -0.2x + -7.2 + x2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + -0.2x + x2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.2x + x2 = 0 + -7.2 -0.2x + x2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 -0.2x + x2 = -7.2 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. -0.2x + 0.25 + x2 = -7.2 + 0.25 Reorder the terms: 0.25 + -0.2x + x2 = -7.2 + 0.25 Combine like terms: -7.2 + 0.25 = -6.95 0.25 + -0.2x + x2 = -6.95 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -6.95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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