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Simplifying q2 + 11Q + 25 = -1Q + 158 Reorder the terms: 25 + 11Q + q2 = -1Q + 158 Reorder the terms: 25 + 11Q + q2 = 158 + -1Q Solving 25 + 11Q + q2 = 158 + -1Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add 'Q' to each side of the equation. 25 + 11Q + Q + q2 = 158 + -1Q + Q Combine like terms: 11Q + Q = 12Q 25 + 12Q + q2 = 158 + -1Q + Q Combine like terms: -1Q + Q = 0 25 + 12Q + q2 = 158 + 0 25 + 12Q + q2 = 158 Add '-25' to each side of the equation. 25 + 12Q + -25 + q2 = 158 + -25 Reorder the terms: 25 + -25 + 12Q + q2 = 158 + -25 Combine like terms: 25 + -25 = 0 0 + 12Q + q2 = 158 + -25 12Q + q2 = 158 + -25 Combine like terms: 158 + -25 = 133 12Q + q2 = 133 Add '-1q2' to each side of the equation. 12Q + q2 + -1q2 = 133 + -1q2 Combine like terms: q2 + -1q2 = 0 12Q + 0 = 133 + -1q2 12Q = 133 + -1q2 Divide each side by '12'. Q = 11.08333333 + -0.08333333333q2 Simplifying Q = 11.08333333 + -0.08333333333q2
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