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Simplifying 18x2 + -15x + 40 = 0 Reorder the terms: 40 + -15x + 18x2 = 0 Solving 40 + -15x + 18x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 2.222222222 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + -0.8333333333x + -2.222222222 + x2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + -0.8333333333x + x2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + -0.8333333333x + x2 = 0 + -2.222222222 -0.8333333333x + x2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 -0.8333333333x + x2 = -2.222222222 The x term is -0.8333333333x. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333x + 0.1736111111 + x2 = -2.222222222 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = -2.222222222 + 0.1736111111 Combine like terms: -2.222222222 + 0.1736111111 = -2.0486111109 0.1736111111 + -0.8333333333x + x2 = -2.0486111109 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = -2.0486111109 Can't calculate square root of the right side. The solution to this equation could not be determined.
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