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Simplifying 18x2 + 5 + -1[6(x2 + -7) + 6] = x Reorder the terms: 18x2 + 5 + -1[6(-7 + x2) + 6] = x 18x2 + 5 + -1[(-7 * 6 + x2 * 6) + 6] = x 18x2 + 5 + -1[(-42 + 6x2) + 6] = x Reorder the terms: 18x2 + 5 + -1[-42 + 6 + 6x2] = x Combine like terms: -42 + 6 = -36 18x2 + 5 + -1[-36 + 6x2] = x 18x2 + 5 + [-36 * -1 + 6x2 * -1] = x 18x2 + 5 + [36 + -6x2] = x Reorder the terms: 5 + 36 + 18x2 + -6x2 = x Combine like terms: 5 + 36 = 41 41 + 18x2 + -6x2 = x Combine like terms: 18x2 + -6x2 = 12x2 41 + 12x2 = x Solving 41 + 12x2 = x Solving for variable 'x'. Reorder the terms: 41 + -1x + 12x2 = x + -1x Combine like terms: x + -1x = 0 41 + -1x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 3.416666667 + -0.08333333333x + x2 = 0 Move the constant term to the right: Add '-3.416666667' to each side of the equation. 3.416666667 + -0.08333333333x + -3.416666667 + x2 = 0 + -3.416666667 Reorder the terms: 3.416666667 + -3.416666667 + -0.08333333333x + x2 = 0 + -3.416666667 Combine like terms: 3.416666667 + -3.416666667 = 0.000000000 0.000000000 + -0.08333333333x + x2 = 0 + -3.416666667 -0.08333333333x + x2 = 0 + -3.416666667 Combine like terms: 0 + -3.416666667 = -3.416666667 -0.08333333333x + x2 = -3.416666667 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 = -3.416666667 + 0.001736111111 Reorder the terms: 0.001736111111 + -0.08333333333x + x2 = -3.416666667 + 0.001736111111 Combine like terms: -3.416666667 + 0.001736111111 = -3.414930555889 0.001736111111 + -0.08333333333x + x2 = -3.414930555889 Factor a perfect square on the left side: (x + -0.04166666667)(x + -0.04166666667) = -3.414930555889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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