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Simplifying -5x2 = -7x + 13 Reorder the terms: -5x2 = 13 + -7x Solving -5x2 = 13 + -7x Solving for variable 'x'. Reorder the terms: -13 + 7x + -5x2 = 13 + -7x + -13 + 7x Reorder the terms: -13 + 7x + -5x2 = 13 + -13 + -7x + 7x Combine like terms: 13 + -13 = 0 -13 + 7x + -5x2 = 0 + -7x + 7x -13 + 7x + -5x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 7x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.6 + -1.4x + x2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + -1.4x + -2.6 + x2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + -1.4x + x2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -1.4x + x2 = 0 + -2.6 -1.4x + x2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -1.4x + x2 = -2.6 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -2.6 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -2.6 + 0.49 Combine like terms: -2.6 + 0.49 = -2.11 0.49 + -1.4x + x2 = -2.11 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -2.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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