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Simplifying 8x2 + 8x + 10 * 8x2 + 3x + 5 = 0 Multiply 10 * 8 8x2 + 8x + 80x2 + 3x + 5 = 0 Reorder the terms: 5 + 8x + 3x + 8x2 + 80x2 = 0 Combine like terms: 8x + 3x = 11x 5 + 11x + 8x2 + 80x2 = 0 Combine like terms: 8x2 + 80x2 = 88x2 5 + 11x + 88x2 = 0 Solving 5 + 11x + 88x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 88 the coefficient of the squared term: Divide each side by '88'. 0.05681818182 + 0.125x + x2 = 0 Move the constant term to the right: Add '-0.05681818182' to each side of the equation. 0.05681818182 + 0.125x + -0.05681818182 + x2 = 0 + -0.05681818182 Reorder the terms: 0.05681818182 + -0.05681818182 + 0.125x + x2 = 0 + -0.05681818182 Combine like terms: 0.05681818182 + -0.05681818182 = 0.00000000000 0.00000000000 + 0.125x + x2 = 0 + -0.05681818182 0.125x + x2 = 0 + -0.05681818182 Combine like terms: 0 + -0.05681818182 = -0.05681818182 0.125x + x2 = -0.05681818182 The x term is 0.125x. Take half its coefficient (0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. 0.125x + 0.00390625 + x2 = -0.05681818182 + 0.00390625 Reorder the terms: 0.00390625 + 0.125x + x2 = -0.05681818182 + 0.00390625 Combine like terms: -0.05681818182 + 0.00390625 = -0.05291193182 0.00390625 + 0.125x + x2 = -0.05291193182 Factor a perfect square on the left side: (x + 0.0625)(x + 0.0625) = -0.05291193182 Can't calculate square root of the right side. The solution to this equation could not be determined.
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