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Simplifying 14 = -4x(3x + 3) + 13x Reorder the terms: 14 = -4x(3 + 3x) + 13x 14 = (3 * -4x + 3x * -4x) + 13x 14 = (-12x + -12x2) + 13x Reorder the terms: 14 = -12x + 13x + -12x2 Combine like terms: -12x + 13x = 1x 14 = 1x + -12x2 Solving 14 = 1x + -12x2 Solving for variable 'x'. Reorder the terms: 14 + -1x + 12x2 = 1x + -1x + -12x2 + 12x2 Combine like terms: 1x + -1x = 0 14 + -1x + 12x2 = 0 + -12x2 + 12x2 14 + -1x + 12x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 14 + -1x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.166666667 + -0.08333333333x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -0.08333333333x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -0.08333333333x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -0.08333333333x + x2 = 0 + -1.166666667 -0.08333333333x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -0.08333333333x + x2 = -1.166666667 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 = -1.166666667 + 0.001736111111 Reorder the terms: 0.001736111111 + -0.08333333333x + x2 = -1.166666667 + 0.001736111111 Combine like terms: -1.166666667 + 0.001736111111 = -1.164930555889 0.001736111111 + -0.08333333333x + x2 = -1.164930555889 Factor a perfect square on the left side: (x + -0.04166666667)(x + -0.04166666667) = -1.164930555889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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