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Simplifying 5x2 + 7x + 12 = 0 Reorder the terms: 12 + 7x + 5x2 = 0 Solving 12 + 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'. 2.4 + 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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