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Simplifying (6x2 + -2x + -8) + -1(x2 + -9x + -18) = 0 Reorder the terms: (-8 + -2x + 6x2) + -1(x2 + -9x + -18) = 0 Remove parenthesis around (-8 + -2x + 6x2) -8 + -2x + 6x2 + -1(x2 + -9x + -18) = 0 Reorder the terms: -8 + -2x + 6x2 + -1(-18 + -9x + x2) = 0 -8 + -2x + 6x2 + (-18 * -1 + -9x * -1 + x2 * -1) = 0 -8 + -2x + 6x2 + (18 + 9x + -1x2) = 0 Reorder the terms: -8 + 18 + -2x + 9x + 6x2 + -1x2 = 0 Combine like terms: -8 + 18 = 10 10 + -2x + 9x + 6x2 + -1x2 = 0 Combine like terms: -2x + 9x = 7x 10 + 7x + 6x2 + -1x2 = 0 Combine like terms: 6x2 + -1x2 = 5x2 10 + 7x + 5x2 = 0 Solving 10 + 7x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + 1.4x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.4x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 1.4x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.4x + x2 = 0 + -2 1.4x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.4x + x2 = -2 The x term is 1.4x. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4x + 0.49 + x2 = -2 + 0.49 Reorder the terms: 0.49 + 1.4x + x2 = -2 + 0.49 Combine like terms: -2 + 0.49 = -1.51 0.49 + 1.4x + x2 = -1.51 Factor a perfect square on the left side: (x + 0.7)(x + 0.7) = -1.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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