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Simplifying (14x2 + 8) + -1(6x2 + 5x + -1) = 0 Reorder the terms: (8 + 14x2) + -1(6x2 + 5x + -1) = 0 Remove parenthesis around (8 + 14x2) 8 + 14x2 + -1(6x2 + 5x + -1) = 0 Reorder the terms: 8 + 14x2 + -1(-1 + 5x + 6x2) = 0 8 + 14x2 + (-1 * -1 + 5x * -1 + 6x2 * -1) = 0 8 + 14x2 + (1 + -5x + -6x2) = 0 Reorder the terms: 8 + 1 + -5x + 14x2 + -6x2 = 0 Combine like terms: 8 + 1 = 9 9 + -5x + 14x2 + -6x2 = 0 Combine like terms: 14x2 + -6x2 = 8x2 9 + -5x + 8x2 = 0 Solving 9 + -5x + 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'. 1.125 + -0.625x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -0.625x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -0.625x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -0.625x + x2 = 0 + -1.125 -0.625x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -0.625x + x2 = -1.125 The x term is -0.625x. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625x + 0.09765625 + x2 = -1.125 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -1.125 + 0.09765625 Combine like terms: -1.125 + 0.09765625 = -1.02734375 0.09765625 + -0.625x + x2 = -1.02734375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -1.02734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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