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Simplifying 6x2 + 9x = 14x + -221 Reorder the terms: 9x + 6x2 = 14x + -221 Reorder the terms: 9x + 6x2 = -221 + 14x Solving 9x + 6x2 = -221 + 14x Solving for variable 'x'. Reorder the terms: 221 + 9x + -14x + 6x2 = -221 + 14x + 221 + -14x Combine like terms: 9x + -14x = -5x 221 + -5x + 6x2 = -221 + 14x + 221 + -14x Reorder the terms: 221 + -5x + 6x2 = -221 + 221 + 14x + -14x Combine like terms: -221 + 221 = 0 221 + -5x + 6x2 = 0 + 14x + -14x 221 + -5x + 6x2 = 14x + -14x Combine like terms: 14x + -14x = 0 221 + -5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 36.83333333 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-36.83333333' to each side of the equation. 36.83333333 + -0.8333333333x + -36.83333333 + x2 = 0 + -36.83333333 Reorder the terms: 36.83333333 + -36.83333333 + -0.8333333333x + x2 = 0 + -36.83333333 Combine like terms: 36.83333333 + -36.83333333 = 0.00000000 0.00000000 + -0.8333333333x + x2 = 0 + -36.83333333 -0.8333333333x + x2 = 0 + -36.83333333 Combine like terms: 0 + -36.83333333 = -36.83333333 -0.8333333333x + x2 = -36.83333333 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 = -36.83333333 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = -36.83333333 + 0.1736111111 Combine like terms: -36.83333333 + 0.1736111111 = -36.6597222189 0.1736111111 + -0.8333333333x + x2 = -36.6597222189 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = -36.6597222189 Can't calculate square root of the right side. The solution to this equation could not be determined.
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