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Simplifying 9x2 + ax + 25 = 9x2 + 6bx + b2 Reorder the terms: 25 + ax + 9x2 = 9x2 + 6bx + b2 Reorder the terms: 25 + ax + 9x2 = 6bx + b2 + 9x2 Add '-9x2' to each side of the equation. 25 + ax + 9x2 + -9x2 = 6bx + b2 + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 25 + ax + 0 = 6bx + b2 + 9x2 + -9x2 25 + ax = 6bx + b2 + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 25 + ax = 6bx + b2 + 0 25 + ax = 6bx + b2 Solving 25 + ax = 6bx + b2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + ax = 6bx + -25 + b2 Combine like terms: 25 + -25 = 0 0 + ax = 6bx + -25 + b2 ax = 6bx + -25 + b2 Reorder the terms: ax = -25 + 6bx + b2 Divide each side by 'x'. a = -25x-1 + 6b + b2x-1 Simplifying a = -25x-1 + 6b + b2x-1 Reorder the terms: a = 6b + b2x-1 + -25x-1
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