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Simplifying 5x2 + 7x + 23 = 0 Reorder the terms: 23 + 7x + 5x2 = 0 Solving 23 + 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'. 4.6 + 1.4x + x2 = 0 Move the constant term to the right: Add '-4.6' to each side of the equation. 4.6 + 1.4x + -4.6 + x2 = 0 + -4.6 Reorder the terms: 4.6 + -4.6 + 1.4x + x2 = 0 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 1.4x + x2 = 0 + -4.6 1.4x + x2 = 0 + -4.6 Combine like terms: 0 + -4.6 = -4.6 1.4x + x2 = -4.6 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 = -4.6 + 0.49 Reorder the terms: 0.49 + 1.4x + x2 = -4.6 + 0.49 Combine like terms: -4.6 + 0.49 = -4.11 0.49 + 1.4x + x2 = -4.11 Factor a perfect square on the left side: (x + 0.7)(x + 0.7) = -4.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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