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Simplifying -2 = 5x2 + -7x + 10 Reorder the terms: -2 = 10 + -7x + 5x2 Solving -2 = 10 + -7x + 5x2 Solving for variable 'x'. Combine like terms: -2 + -10 = -12 -12 + 7x + -5x2 = 10 + -7x + 5x2 + -10 + 7x + -5x2 Reorder the terms: -12 + 7x + -5x2 = 10 + -10 + -7x + 7x + 5x2 + -5x2 Combine like terms: 10 + -10 = 0 -12 + 7x + -5x2 = 0 + -7x + 7x + 5x2 + -5x2 -12 + 7x + -5x2 = -7x + 7x + 5x2 + -5x2 Combine like terms: -7x + 7x = 0 -12 + 7x + -5x2 = 0 + 5x2 + -5x2 -12 + 7x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -12 + 7x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.4 + -1.4x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -1.4x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -1.4x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1.4x + x2 = 0 + -2.4 -1.4x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -1.4x + x2 = -2.4 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 = -2.4 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -2.4 + 0.49 Combine like terms: -2.4 + 0.49 = -1.91 0.49 + -1.4x + x2 = -1.91 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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