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Simplifying 15x2 + 12x + 5 = 0 Reorder the terms: 5 + 12x + 15x2 = 0 Solving 5 + 12x + 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'. 0.3333333333 + 0.8x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.8x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.8x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.8x + x2 = 0 + -0.3333333333 0.8x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.8x + x2 = -0.3333333333 The x term is 0.8x. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8x + 0.16 + x2 = -0.3333333333 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -0.3333333333 + 0.16 Combine like terms: -0.3333333333 + 0.16 = -0.1733333333 0.16 + 0.8x + x2 = -0.1733333333 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -0.1733333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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