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Simplifying 10x2 = -7 + 5x Solving 10x2 = -7 + 5x Solving for variable 'x'. Reorder the terms: 7 + -5x + 10x2 = -7 + 5x + 7 + -5x Reorder the terms: 7 + -5x + 10x2 = -7 + 7 + 5x + -5x Combine like terms: -7 + 7 = 0 7 + -5x + 10x2 = 0 + 5x + -5x 7 + -5x + 10x2 = 5x + -5x Combine like terms: 5x + -5x = 0 7 + -5x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + -0.5x + -0.7 + x2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + -0.5x + x2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.5x + x2 = 0 + -0.7 -0.5x + x2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 -0.5x + x2 = -0.7 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.7 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.7 + 0.0625 Combine like terms: -0.7 + 0.0625 = -0.6375 0.0625 + -0.5x + x2 = -0.6375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.6375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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