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Simplifying 15x2 + 29x + 24 = 0 Reorder the terms: 24 + 29x + 15x2 = 0 Solving 24 + 29x + 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'. 1.6 + 1.933333333x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 1.933333333x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 1.933333333x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 1.933333333x + x2 = 0 + -1.6 1.933333333x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 1.933333333x + x2 = -1.6 The x term is 1.933333333x. Take half its coefficient (0.9666666665). Square it (0.9344444441) and add it to both sides. Add '0.9344444441' to each side of the equation. 1.933333333x + 0.9344444441 + x2 = -1.6 + 0.9344444441 Reorder the terms: 0.9344444441 + 1.933333333x + x2 = -1.6 + 0.9344444441 Combine like terms: -1.6 + 0.9344444441 = -0.6655555559 0.9344444441 + 1.933333333x + x2 = -0.6655555559 Factor a perfect square on the left side: (x + 0.9666666665)(x + 0.9666666665) = -0.6655555559 Can't calculate square root of the right side. The solution to this equation could not be determined.
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