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Simplifying 5x + b2 + -25x2 + ax + 16 = 0 Reorder the terms: 16 + ax + b2 + 5x + -25x2 = 0 Solving 16 + ax + b2 + 5x + -25x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + ax + b2 + 5x + -16 + -25x2 = 0 + -16 Reorder the terms: 16 + -16 + ax + b2 + 5x + -25x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + ax + b2 + 5x + -25x2 = 0 + -16 ax + b2 + 5x + -25x2 = 0 + -16 Combine like terms: 0 + -16 = -16 ax + b2 + 5x + -25x2 = -16 Add '-1b2' to each side of the equation. ax + b2 + 5x + -1b2 + -25x2 = -16 + -1b2 Reorder the terms: ax + b2 + -1b2 + 5x + -25x2 = -16 + -1b2 Combine like terms: b2 + -1b2 = 0 ax + 0 + 5x + -25x2 = -16 + -1b2 ax + 5x + -25x2 = -16 + -1b2 Add '-5x' to each side of the equation. ax + 5x + -5x + -25x2 = -16 + -1b2 + -5x Combine like terms: 5x + -5x = 0 ax + 0 + -25x2 = -16 + -1b2 + -5x ax + -25x2 = -16 + -1b2 + -5x Add '25x2' to each side of the equation. ax + -25x2 + 25x2 = -16 + -1b2 + -5x + 25x2 Combine like terms: -25x2 + 25x2 = 0 ax + 0 = -16 + -1b2 + -5x + 25x2 ax = -16 + -1b2 + -5x + 25x2 Divide each side by 'x'. a = -16x-1 + -1b2x-1 + -5 + 25x Simplifying a = -16x-1 + -1b2x-1 + -5 + 25x Reorder the terms: a = -5 + -1b2x-1 + -16x-1 + 25x
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