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Simplifying 5x2 + 4x = -9 Reorder the terms: 4x + 5x2 = -9 Solving 4x + 5x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + 4x + 5x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + 0.8x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 0.8x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 0.8x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.8x + x2 = 0 + -1.8 0.8x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 0.8x + x2 = -1.8 The x term is 0.8x. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8x + 0.16 + x2 = -1.8 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -1.8 + 0.16 Combine like terms: -1.8 + 0.16 = -1.64 0.16 + 0.8x + x2 = -1.64 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -1.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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