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Simplifying -15x2 + 6x = 104 Reorder the terms: 6x + -15x2 = 104 Solving 6x + -15x2 = 104 Solving for variable 'x'. Reorder the terms: -104 + 6x + -15x2 = 104 + -104 Combine like terms: 104 + -104 = 0 -104 + 6x + -15x2 = 0 Begin completing the square. Divide all terms by -15 the coefficient of the squared term: Divide each side by '-15'. 6.933333333 + -0.4x + x2 = 0 Move the constant term to the right: Add '-6.933333333' to each side of the equation. 6.933333333 + -0.4x + -6.933333333 + x2 = 0 + -6.933333333 Reorder the terms: 6.933333333 + -6.933333333 + -0.4x + x2 = 0 + -6.933333333 Combine like terms: 6.933333333 + -6.933333333 = 0.000000000 0.000000000 + -0.4x + x2 = 0 + -6.933333333 -0.4x + x2 = 0 + -6.933333333 Combine like terms: 0 + -6.933333333 = -6.933333333 -0.4x + x2 = -6.933333333 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -6.933333333 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -6.933333333 + 0.04 Combine like terms: -6.933333333 + 0.04 = -6.893333333 0.04 + -0.4x + x2 = -6.893333333 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -6.893333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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