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Simplifying (5x2 + -8x + -2) + (3x2 + 9x + 6) = 0 Reorder the terms: (-2 + -8x + 5x2) + (3x2 + 9x + 6) = 0 Remove parenthesis around (-2 + -8x + 5x2) -2 + -8x + 5x2 + (3x2 + 9x + 6) = 0 Reorder the terms: -2 + -8x + 5x2 + (6 + 9x + 3x2) = 0 Remove parenthesis around (6 + 9x + 3x2) -2 + -8x + 5x2 + 6 + 9x + 3x2 = 0 Reorder the terms: -2 + 6 + -8x + 9x + 5x2 + 3x2 = 0 Combine like terms: -2 + 6 = 4 4 + -8x + 9x + 5x2 + 3x2 = 0 Combine like terms: -8x + 9x = 1x 4 + 1x + 5x2 + 3x2 = 0 Combine like terms: 5x2 + 3x2 = 8x2 4 + 1x + 8x2 = 0 Solving 4 + 1x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.5 + 0.125x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.125x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.125x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.125x + x2 = 0 + -0.5 0.125x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.125x + x2 = -0.5 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 = -0.5 + 0.00390625 Reorder the terms: 0.00390625 + 0.125x + x2 = -0.5 + 0.00390625 Combine like terms: -0.5 + 0.00390625 = -0.49609375 0.00390625 + 0.125x + x2 = -0.49609375 Factor a perfect square on the left side: (x + 0.0625)(x + 0.0625) = -0.49609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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