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Simplifying -5x2 + x = 13 Reorder the terms: x + -5x2 = 13 Solving x + -5x2 = 13 Solving for variable 'x'. Reorder the terms: -13 + x + -5x2 = 13 + -13 Combine like terms: 13 + -13 = 0 -13 + x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.6 + -0.2x + x2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + -0.2x + -2.6 + x2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + -0.2x + x2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.2x + x2 = 0 + -2.6 -0.2x + x2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -0.2x + x2 = -2.6 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 = -2.6 + 0.25 Reorder the terms: 0.25 + -0.2x + x2 = -2.6 + 0.25 Combine like terms: -2.6 + 0.25 = -2.35 0.25 + -0.2x + x2 = -2.35 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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