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Simplifying 5x2 + 7x + 14 = 10 Reorder the terms: 14 + 7x + 5x2 = 10 Solving 14 + 7x + 5x2 = 10 Solving for variable 'x'. Reorder the terms: 14 + -10 + 7x + 5x2 = 10 + -10 Combine like terms: 14 + -10 = 4 4 + 7x + 5x2 = 10 + -10 Combine like terms: 10 + -10 = 0 4 + 7x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 1.4x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 1.4x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 1.4x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.4x + x2 = 0 + -0.8 1.4x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 1.4x + x2 = -0.8 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 = -0.8 + 0.49 Reorder the terms: 0.49 + 1.4x + x2 = -0.8 + 0.49 Combine like terms: -0.8 + 0.49 = -0.31 0.49 + 1.4x + x2 = -0.31 Factor a perfect square on the left side: (x + 0.7)(x + 0.7) = -0.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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