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Simplifying 3x + 2(x + -5) + 12x2 + -9x + 28 + -1(-3x) = 0 Reorder the terms: 3x + 2(-5 + x) + 12x2 + -9x + 28 + -1(-3x) = 0 3x + (-5 * 2 + x * 2) + 12x2 + -9x + 28 + -1(-3x) = 0 3x + (-10 + 2x) + 12x2 + -9x + 28 + -1(-3x) = 0 Remove parenthesis around (-3x) 3x + -10 + 2x + 12x2 + -9x + 28 + -1 * -3x = 0 Multiply -1 * -3 3x + -10 + 2x + 12x2 + -9x + 28 + 3x = 0 Reorder the terms: -10 + 28 + 3x + 2x + -9x + 3x + 12x2 = 0 Combine like terms: -10 + 28 = 18 18 + 3x + 2x + -9x + 3x + 12x2 = 0 Combine like terms: 3x + 2x = 5x 18 + 5x + -9x + 3x + 12x2 = 0 Combine like terms: 5x + -9x = -4x 18 + -4x + 3x + 12x2 = 0 Combine like terms: -4x + 3x = -1x 18 + -1x + 12x2 = 0 Solving 18 + -1x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.5 + -0.08333333333x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.08333333333x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.08333333333x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.08333333333x + x2 = 0 + -1.5 -0.08333333333x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.08333333333x + x2 = -1.5 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 = -1.5 + 0.001736111111 Reorder the terms: 0.001736111111 + -0.08333333333x + x2 = -1.5 + 0.001736111111 Combine like terms: -1.5 + 0.001736111111 = -1.498263888889 0.001736111111 + -0.08333333333x + x2 = -1.498263888889 Factor a perfect square on the left side: (x + -0.04166666667)(x + -0.04166666667) = -1.498263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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