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Simplifying 15x2 + 8x + 12 = 0 Reorder the terms: 12 + 8x + 15x2 = 0 Solving 12 + 8x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.8 + 0.5333333333x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.5333333333x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.5333333333x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.5333333333x + x2 = 0 + -0.8 0.5333333333x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.5333333333x + x2 = -0.8 The x term is 0.5333333333x. Take half its coefficient (0.2666666667). Square it (0.07111111113) and add it to both sides. Add '0.07111111113' to each side of the equation. 0.5333333333x + 0.07111111113 + x2 = -0.8 + 0.07111111113 Reorder the terms: 0.07111111113 + 0.5333333333x + x2 = -0.8 + 0.07111111113 Combine like terms: -0.8 + 0.07111111113 = -0.72888888887 0.07111111113 + 0.5333333333x + x2 = -0.72888888887 Factor a perfect square on the left side: (x + 0.2666666667)(x + 0.2666666667) = -0.72888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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