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Simplifying x + 5x2 + 8x + 7 = 0 Reorder the terms: 7 + x + 8x + 5x2 = 0 Combine like terms: x + 8x = 9x 7 + 9x + 5x2 = 0 Solving 7 + 9x + 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'. 1.4 + 1.8x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + 1.8x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + 1.8x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 1.8x + x2 = 0 + -1.4 1.8x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 1.8x + x2 = -1.4 The x term is 1.8x. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8x + 0.81 + x2 = -1.4 + 0.81 Reorder the terms: 0.81 + 1.8x + x2 = -1.4 + 0.81 Combine like terms: -1.4 + 0.81 = -0.59 0.81 + 1.8x + x2 = -0.59 Factor a perfect square on the left side: (x + 0.9)(x + 0.9) = -0.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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