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Simplifying 9x2 + (b + 2) * x + 16 = 0 Reorder the terms: 9x2 + (2 + b) * x + 16 = 0 Reorder the terms for easier multiplication: 9x2 + x(2 + b) + 16 = 0 9x2 + (2 * x + b * x) + 16 = 0 Reorder the terms: 9x2 + (bx + 2x) + 16 = 0 9x2 + (bx + 2x) + 16 = 0 Reorder the terms: 16 + bx + 2x + 9x2 = 0 Solving 16 + bx + 2x + 9x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + bx + 2x + -16 + 9x2 = 0 + -16 Reorder the terms: 16 + -16 + bx + 2x + 9x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + bx + 2x + 9x2 = 0 + -16 bx + 2x + 9x2 = 0 + -16 Combine like terms: 0 + -16 = -16 bx + 2x + 9x2 = -16 Add '-2x' to each side of the equation. bx + 2x + -2x + 9x2 = -16 + -2x Combine like terms: 2x + -2x = 0 bx + 0 + 9x2 = -16 + -2x bx + 9x2 = -16 + -2x Add '-9x2' to each side of the equation. bx + 9x2 + -9x2 = -16 + -2x + -9x2 Combine like terms: 9x2 + -9x2 = 0 bx + 0 = -16 + -2x + -9x2 bx = -16 + -2x + -9x2 Divide each side by 'x'. b = -16x-1 + -2 + -9x Simplifying b = -16x-1 + -2 + -9x Reorder the terms: b = -2 + -16x-1 + -9x
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