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Simplifying 6x(2x + 1) = 7x + -4 Reorder the terms: 6x(1 + 2x) = 7x + -4 (1 * 6x + 2x * 6x) = 7x + -4 (6x + 12x2) = 7x + -4 Reorder the terms: 6x + 12x2 = -4 + 7x Solving 6x + 12x2 = -4 + 7x Solving for variable 'x'. Reorder the terms: 4 + 6x + -7x + 12x2 = -4 + 7x + 4 + -7x Combine like terms: 6x + -7x = -1x 4 + -1x + 12x2 = -4 + 7x + 4 + -7x Reorder the terms: 4 + -1x + 12x2 = -4 + 4 + 7x + -7x Combine like terms: -4 + 4 = 0 4 + -1x + 12x2 = 0 + 7x + -7x 4 + -1x + 12x2 = 7x + -7x Combine like terms: 7x + -7x = 0 4 + -1x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.3333333333 + -0.08333333333x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.08333333333x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.08333333333x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.08333333333x + x2 = 0 + -0.3333333333 -0.08333333333x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.08333333333x + x2 = -0.3333333333 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 = -0.3333333333 + 0.001736111111 Reorder the terms: 0.001736111111 + -0.08333333333x + x2 = -0.3333333333 + 0.001736111111 Combine like terms: -0.3333333333 + 0.001736111111 = -0.331597222189 0.001736111111 + -0.08333333333x + x2 = -0.331597222189 Factor a perfect square on the left side: (x + -0.04166666667)(x + -0.04166666667) = -0.331597222189 Can't calculate square root of the right side. The solution to this equation could not be determined.
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