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Simplifying 7x + 4 = -5x2 + -20 Reorder the terms: 4 + 7x = -5x2 + -20 Reorder the terms: 4 + 7x = -20 + -5x2 Solving 4 + 7x = -20 + -5x2 Solving for variable 'x'. Reorder the terms: 4 + 20 + 7x + 5x2 = -20 + -5x2 + 20 + 5x2 Combine like terms: 4 + 20 = 24 24 + 7x + 5x2 = -20 + -5x2 + 20 + 5x2 Reorder the terms: 24 + 7x + 5x2 = -20 + 20 + -5x2 + 5x2 Combine like terms: -20 + 20 = 0 24 + 7x + 5x2 = 0 + -5x2 + 5x2 24 + 7x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 24 + 7x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + 1.4x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + 1.4x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + 1.4x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 1.4x + x2 = 0 + -4.8 1.4x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 1.4x + x2 = -4.8 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 = -4.8 + 0.49 Reorder the terms: 0.49 + 1.4x + x2 = -4.8 + 0.49 Combine like terms: -4.8 + 0.49 = -4.31 0.49 + 1.4x + x2 = -4.31 Factor a perfect square on the left side: (x + 0.7)(x + 0.7) = -4.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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