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Simplifying q2 + -3q + 25 = q2 + 10q + 25 Reorder the terms: 25 + -3q + q2 = q2 + 10q + 25 Reorder the terms: 25 + -3q + q2 = 25 + 10q + q2 Add '-25' to each side of the equation. 25 + -3q + -25 + q2 = 25 + 10q + -25 + q2 Reorder the terms: 25 + -25 + -3q + q2 = 25 + 10q + -25 + q2 Combine like terms: 25 + -25 = 0 0 + -3q + q2 = 25 + 10q + -25 + q2 -3q + q2 = 25 + 10q + -25 + q2 Reorder the terms: -3q + q2 = 25 + -25 + 10q + q2 Combine like terms: 25 + -25 = 0 -3q + q2 = 0 + 10q + q2 -3q + q2 = 10q + q2 Add '-1q2' to each side of the equation. -3q + q2 + -1q2 = 10q + q2 + -1q2 Combine like terms: q2 + -1q2 = 0 -3q + 0 = 10q + q2 + -1q2 -3q = 10q + q2 + -1q2 Combine like terms: q2 + -1q2 = 0 -3q = 10q + 0 -3q = 10q Solving -3q = 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -3q + -10q = 10q + -10q Combine like terms: -3q + -10q = -13q -13q = 10q + -10q Combine like terms: 10q + -10q = 0 -13q = 0 Divide each side by '-13'. q = 0 Simplifying q = 0
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