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Simplifying 18x2 + -15x + -3 = -11 Reorder the terms: -3 + -15x + 18x2 = -11 Solving -3 + -15x + 18x2 = -11 Solving for variable 'x'. Reorder the terms: -3 + 11 + -15x + 18x2 = -11 + 11 Combine like terms: -3 + 11 = 8 8 + -15x + 18x2 = -11 + 11 Combine like terms: -11 + 11 = 0 8 + -15x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.4444444444 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.8333333333x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.8333333333x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.8333333333x + x2 = 0 + -0.4444444444 -0.8333333333x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.8333333333x + x2 = -0.4444444444 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 = -0.4444444444 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = -0.4444444444 + 0.1736111111 Combine like terms: -0.4444444444 + 0.1736111111 = -0.2708333333 0.1736111111 + -0.8333333333x + x2 = -0.2708333333 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = -0.2708333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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