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Simplifying -5x2 + 7x + -10 = 0 Reorder the terms: -10 + 7x + -5x2 = 0 Solving -10 + 7x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2 + -1.4x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.4x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.4x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.4x + x2 = 0 + -2 -1.4x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.4x + x2 = -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 = -2 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -2 + 0.49 Combine like terms: -2 + 0.49 = -1.51 0.49 + -1.4x + x2 = -1.51 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -1.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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