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Simplifying 5x2 + -1x + -1 = -6 Reorder the terms: -1 + -1x + 5x2 = -6 Solving -1 + -1x + 5x2 = -6 Solving for variable 'x'. Reorder the terms: -1 + 6 + -1x + 5x2 = -6 + 6 Combine like terms: -1 + 6 = 5 5 + -1x + 5x2 = -6 + 6 Combine like terms: -6 + 6 = 0 5 + -1x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -0.2x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x + x2 = 0 + -1 -0.2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2x + x2 = -1 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -1 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -1 + 0.01 Combine like terms: -1 + 0.01 = -0.99 0.01 + -0.2x + x2 = -0.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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