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Simplifying 15x2 + -29x + 120 = 0 Reorder the terms: 120 + -29x + 15x2 = 0 Solving 120 + -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'. 8 + -1.933333333x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -1.933333333x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -1.933333333x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1.933333333x + x2 = 0 + -8 -1.933333333x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1.933333333x + x2 = -8 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 = -8 + 0.9344444441 Reorder the terms: 0.9344444441 + -1.933333333x + x2 = -8 + 0.9344444441 Combine like terms: -8 + 0.9344444441 = -7.0655555559 0.9344444441 + -1.933333333x + x2 = -7.0655555559 Factor a perfect square on the left side: (x + -0.9666666665)(x + -0.9666666665) = -7.0655555559 Can't calculate square root of the right side. The solution to this equation could not be determined.
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