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Simplifying -5x2 + 7x = 6 Reorder the terms: 7x + -5x2 = 6 Solving 7x + -5x2 = 6 Solving for variable 'x'. Reorder the terms: -6 + 7x + -5x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 7x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.2 + -1.4x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -1.4x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -1.4x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.4x + x2 = 0 + -1.2 -1.4x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -1.4x + x2 = -1.2 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 = -1.2 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -1.2 + 0.49 Combine like terms: -1.2 + 0.49 = -0.71 0.49 + -1.4x + x2 = -0.71 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -0.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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