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Simplifying 9x2 + -6x + 1 = -18 Reorder the terms: 1 + -6x + 9x2 = -18 Solving 1 + -6x + 9x2 = -18 Solving for variable 'x'. Reorder the terms: 1 + 18 + -6x + 9x2 = -18 + 18 Combine like terms: 1 + 18 = 19 19 + -6x + 9x2 = -18 + 18 Combine like terms: -18 + 18 = 0 19 + -6x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.111111111 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-2.111111111' to each side of the equation. 2.111111111 + -0.6666666667x + -2.111111111 + x2 = 0 + -2.111111111 Reorder the terms: 2.111111111 + -2.111111111 + -0.6666666667x + x2 = 0 + -2.111111111 Combine like terms: 2.111111111 + -2.111111111 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -2.111111111 -0.6666666667x + x2 = 0 + -2.111111111 Combine like terms: 0 + -2.111111111 = -2.111111111 -0.6666666667x + x2 = -2.111111111 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -2.111111111 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -2.111111111 + 0.1111111112 Combine like terms: -2.111111111 + 0.1111111112 = -1.9999999998 0.1111111112 + -0.6666666667x + x2 = -1.9999999998 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -1.9999999998 Can't calculate square root of the right side. The solution to this equation could not be determined.
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