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Simplifying (5x2 + -1x + -1) + -1(-3x2 + -2x + -4) = 0 Reorder the terms: (-1 + -1x + 5x2) + -1(-3x2 + -2x + -4) = 0 Remove parenthesis around (-1 + -1x + 5x2) -1 + -1x + 5x2 + -1(-3x2 + -2x + -4) = 0 Reorder the terms: -1 + -1x + 5x2 + -1(-4 + -2x + -3x2) = 0 -1 + -1x + 5x2 + (-4 * -1 + -2x * -1 + -3x2 * -1) = 0 -1 + -1x + 5x2 + (4 + 2x + 3x2) = 0 Reorder the terms: -1 + 4 + -1x + 2x + 5x2 + 3x2 = 0 Combine like terms: -1 + 4 = 3 3 + -1x + 2x + 5x2 + 3x2 = 0 Combine like terms: -1x + 2x = 1x 3 + 1x + 5x2 + 3x2 = 0 Combine like terms: 5x2 + 3x2 = 8x2 3 + 1x + 8x2 = 0 Solving 3 + 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'. 0.375 + 0.125x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + 0.125x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + 0.125x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 0.125x + x2 = 0 + -0.375 0.125x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 0.125x + x2 = -0.375 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 = -0.375 + 0.00390625 Reorder the terms: 0.00390625 + 0.125x + x2 = -0.375 + 0.00390625 Combine like terms: -0.375 + 0.00390625 = -0.37109375 0.00390625 + 0.125x + x2 = -0.37109375 Factor a perfect square on the left side: (x + 0.0625)(x + 0.0625) = -0.37109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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