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Simplifying 12x2 + 18 = x + 5 Reorder the terms: 18 + 12x2 = x + 5 Reorder the terms: 18 + 12x2 = 5 + x Solving 18 + 12x2 = 5 + x Solving for variable 'x'. Reorder the terms: 18 + -5 + -1x + 12x2 = 5 + x + -5 + -1x Combine like terms: 18 + -5 = 13 13 + -1x + 12x2 = 5 + x + -5 + -1x Reorder the terms: 13 + -1x + 12x2 = 5 + -5 + x + -1x Combine like terms: 5 + -5 = 0 13 + -1x + 12x2 = 0 + x + -1x 13 + -1x + 12x2 = x + -1x Combine like terms: x + -1x = 0 13 + -1x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.083333333 + -0.08333333333x + x2 = 0 Move the constant term to the right: Add '-1.083333333' to each side of the equation. 1.083333333 + -0.08333333333x + -1.083333333 + x2 = 0 + -1.083333333 Reorder the terms: 1.083333333 + -1.083333333 + -0.08333333333x + x2 = 0 + -1.083333333 Combine like terms: 1.083333333 + -1.083333333 = 0.000000000 0.000000000 + -0.08333333333x + x2 = 0 + -1.083333333 -0.08333333333x + x2 = 0 + -1.083333333 Combine like terms: 0 + -1.083333333 = -1.083333333 -0.08333333333x + x2 = -1.083333333 The x term is -0.08333333333x. Take half its coefficient (-0.04166666667). Square it (0.001736111111) and add it to both sides. Add '0.001736111111' to each side of the equation. -0.08333333333x + 0.001736111111 + x2 = -1.083333333 + 0.001736111111 Reorder the terms: 0.001736111111 + -0.08333333333x + x2 = -1.083333333 + 0.001736111111 Combine like terms: -1.083333333 + 0.001736111111 = -1.081597221889 0.001736111111 + -0.08333333333x + x2 = -1.081597221889 Factor a perfect square on the left side: (x + -0.04166666667)(x + -0.04166666667) = -1.081597221889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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