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Simplifying (-6x2 + 8x) + (-8 + x) + -1(2x2 + 4) = 0 Reorder the terms: (8x + -6x2) + (-8 + x) + -1(2x2 + 4) = 0 Remove parenthesis around (8x + -6x2) 8x + -6x2 + (-8 + x) + -1(2x2 + 4) = 0 Remove parenthesis around (-8 + x) 8x + -6x2 + -8 + x + -1(2x2 + 4) = 0 Reorder the terms: 8x + -6x2 + -8 + x + -1(4 + 2x2) = 0 8x + -6x2 + -8 + x + (4 * -1 + 2x2 * -1) = 0 8x + -6x2 + -8 + x + (-4 + -2x2) = 0 Reorder the terms: -8 + -4 + 8x + x + -6x2 + -2x2 = 0 Combine like terms: -8 + -4 = -12 -12 + 8x + x + -6x2 + -2x2 = 0 Combine like terms: 8x + x = 9x -12 + 9x + -6x2 + -2x2 = 0 Combine like terms: -6x2 + -2x2 = -8x2 -12 + 9x + -8x2 = 0 Solving -12 + 9x + -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'. 1.5 + -1.125x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1.125x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1.125x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.125x + x2 = 0 + -1.5 -1.125x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.125x + x2 = -1.5 The x term is -1.125x. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125x + 0.31640625 + x2 = -1.5 + 0.31640625 Reorder the terms: 0.31640625 + -1.125x + x2 = -1.5 + 0.31640625 Combine like terms: -1.5 + 0.31640625 = -1.18359375 0.31640625 + -1.125x + x2 = -1.18359375 Factor a perfect square on the left side: (x + -0.5625)(x + -0.5625) = -1.18359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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