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Simplifying 9x2 + 8 = 6x Reorder the terms: 8 + 9x2 = 6x Solving 8 + 9x2 = 6x Solving for variable 'x'. Reorder the terms: 8 + -6x + 9x2 = 6x + -6x Combine like terms: 6x + -6x = 0 8 + -6x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -0.6666666667x + -0.8888888889 + x2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -0.6666666667x + x2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.8888888889 -0.6666666667x + x2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -0.6666666667x + x2 = -0.8888888889 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 = -0.8888888889 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.8888888889 + 0.1111111112 Combine like terms: -0.8888888889 + 0.1111111112 = -0.7777777777 0.1111111112 + -0.6666666667x + x2 = -0.7777777777 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.7777777777 Can't calculate square root of the right side. The solution to this equation could not be determined.
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