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Simplifying 0 = 5x2 + -5x + 7 Reorder the terms: 0 = 7 + -5x + 5x2 Solving 0 = 7 + -5x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -7 = -7 -7 + 5x + -5x2 = 7 + -5x + 5x2 + -7 + 5x + -5x2 Reorder the terms: -7 + 5x + -5x2 = 7 + -7 + -5x + 5x + 5x2 + -5x2 Combine like terms: 7 + -7 = 0 -7 + 5x + -5x2 = 0 + -5x + 5x + 5x2 + -5x2 -7 + 5x + -5x2 = -5x + 5x + 5x2 + -5x2 Combine like terms: -5x + 5x = 0 -7 + 5x + -5x2 = 0 + 5x2 + -5x2 -7 + 5x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7 + 5x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.4 + -1x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -1x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -1x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1x + x2 = 0 + -1.4 -1x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -1x + x2 = -1.4 The x term is -1x. 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. -1x + 0.25 + x2 = -1.4 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.4 + 0.25 Combine like terms: -1.4 + 0.25 = -1.15 0.25 + -1x + x2 = -1.15 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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