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Simplifying 18x2 = 10x + -7 Reorder the terms: 18x2 = -7 + 10x Solving 18x2 = -7 + 10x Solving for variable 'x'. Reorder the terms: 7 + -10x + 18x2 = -7 + 10x + 7 + -10x Reorder the terms: 7 + -10x + 18x2 = -7 + 7 + 10x + -10x Combine like terms: -7 + 7 = 0 7 + -10x + 18x2 = 0 + 10x + -10x 7 + -10x + 18x2 = 10x + -10x Combine like terms: 10x + -10x = 0 7 + -10x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.3888888889 + -0.5555555556x + x2 = 0 Move the constant term to the right: Add '-0.3888888889' to each side of the equation. 0.3888888889 + -0.5555555556x + -0.3888888889 + x2 = 0 + -0.3888888889 Reorder the terms: 0.3888888889 + -0.3888888889 + -0.5555555556x + x2 = 0 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + -0.5555555556x + x2 = 0 + -0.3888888889 -0.5555555556x + x2 = 0 + -0.3888888889 Combine like terms: 0 + -0.3888888889 = -0.3888888889 -0.5555555556x + x2 = -0.3888888889 The x term is -0.5555555556x. Take half its coefficient (-0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. -0.5555555556x + 0.07716049384 + x2 = -0.3888888889 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556x + x2 = -0.3888888889 + 0.07716049384 Combine like terms: -0.3888888889 + 0.07716049384 = -0.31172839506 0.07716049384 + -0.5555555556x + x2 = -0.31172839506 Factor a perfect square on the left side: (x + -0.2777777778)(x + -0.2777777778) = -0.31172839506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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