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Simplifying 5x2 + 4x + 83 = 0 Reorder the terms: 83 + 4x + 5x2 = 0 Solving 83 + 4x + 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'. 16.6 + 0.8x + x2 = 0 Move the constant term to the right: Add '-16.6' to each side of the equation. 16.6 + 0.8x + -16.6 + x2 = 0 + -16.6 Reorder the terms: 16.6 + -16.6 + 0.8x + x2 = 0 + -16.6 Combine like terms: 16.6 + -16.6 = 0.0 0.0 + 0.8x + x2 = 0 + -16.6 0.8x + x2 = 0 + -16.6 Combine like terms: 0 + -16.6 = -16.6 0.8x + x2 = -16.6 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 = -16.6 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -16.6 + 0.16 Combine like terms: -16.6 + 0.16 = -16.44 0.16 + 0.8x + x2 = -16.44 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -16.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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