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Simplifying 5x2 + -35x + 75 = 13 Reorder the terms: 75 + -35x + 5x2 = 13 Solving 75 + -35x + 5x2 = 13 Solving for variable 'x'. Reorder the terms: 75 + -13 + -35x + 5x2 = 13 + -13 Combine like terms: 75 + -13 = 62 62 + -35x + 5x2 = 13 + -13 Combine like terms: 13 + -13 = 0 62 + -35x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12.4 + -7x + x2 = 0 Move the constant term to the right: Add '-12.4' to each side of the equation. 12.4 + -7x + -12.4 + x2 = 0 + -12.4 Reorder the terms: 12.4 + -12.4 + -7x + x2 = 0 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -7x + x2 = 0 + -12.4 -7x + x2 = 0 + -12.4 Combine like terms: 0 + -12.4 = -12.4 -7x + x2 = -12.4 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -12.4 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -12.4 + 12.25 Combine like terms: -12.4 + 12.25 = -0.15 12.25 + -7x + x2 = -0.15 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -0.15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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