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Simplifying (x + -5)(x + 9b)(x + -9b) = 0 Reorder the terms: (-5 + x)(x + 9b)(x + -9b) = 0 Reorder the terms: (-5 + x)(9b + x)(x + -9b) = 0 Reorder the terms: (-5 + x)(9b + x)(-9b + x) = 0 Multiply (-5 + x) * (9b + x) (-5(9b + x) + x(9b + x))(-9b + x) = 0 ((9b * -5 + x * -5) + x(9b + x))(-9b + x) = 0 ((-45b + -5x) + x(9b + x))(-9b + x) = 0 (-45b + -5x + (9b * x + x * x))(-9b + x) = 0 (-45b + -5x + (9bx + x2))(-9b + x) = 0 Reorder the terms: (-45b + 9bx + -5x + x2)(-9b + x) = 0 (-45b + 9bx + -5x + x2)(-9b + x) = 0 Multiply (-45b + 9bx + -5x + x2) * (-9b + x) (-45b * (-9b + x) + 9bx * (-9b + x) + -5x * (-9b + x) + x2(-9b + x)) = 0 ((-9b * -45b + x * -45b) + 9bx * (-9b + x) + -5x * (-9b + x) + x2(-9b + x)) = 0 Reorder the terms: ((-45bx + 405b2) + 9bx * (-9b + x) + -5x * (-9b + x) + x2(-9b + x)) = 0 ((-45bx + 405b2) + 9bx * (-9b + x) + -5x * (-9b + x) + x2(-9b + x)) = 0 (-45bx + 405b2 + (-9b * 9bx + x * 9bx) + -5x * (-9b + x) + x2(-9b + x)) = 0 Reorder the terms: (-45bx + 405b2 + (9bx2 + -81b2x) + -5x * (-9b + x) + x2(-9b + x)) = 0 (-45bx + 405b2 + (9bx2 + -81b2x) + -5x * (-9b + x) + x2(-9b + x)) = 0 (-45bx + 405b2 + 9bx2 + -81b2x + (-9b * -5x + x * -5x) + x2(-9b + x)) = 0 (-45bx + 405b2 + 9bx2 + -81b2x + (45bx + -5x2) + x2(-9b + x)) = 0 (-45bx + 405b2 + 9bx2 + -81b2x + 45bx + -5x2 + (-9b * x2 + x * x2)) = 0 (-45bx + 405b2 + 9bx2 + -81b2x + 45bx + -5x2 + (-9bx2 + x3)) = 0 Reorder the terms: (-45bx + 45bx + 9bx2 + -9bx2 + 405b2 + -81b2x + -5x2 + x3) = 0 Combine like terms: -45bx + 45bx = 0 (0 + 9bx2 + -9bx2 + 405b2 + -81b2x + -5x2 + x3) = 0 (9bx2 + -9bx2 + 405b2 + -81b2x + -5x2 + x3) = 0 Combine like terms: 9bx2 + -9bx2 = 0 (0 + 405b2 + -81b2x + -5x2 + x3) = 0 (405b2 + -81b2x + -5x2 + x3) = 0 Solving 405b2 + -81b2x + -5x2 + x3 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5x2' to each side of the equation. 405b2 + -81b2x + -5x2 + 5x2 + x3 = 0 + 5x2 Combine like terms: -5x2 + 5x2 = 0 405b2 + -81b2x + 0 + x3 = 0 + 5x2 405b2 + -81b2x + x3 = 0 + 5x2 Remove the zero: 405b2 + -81b2x + x3 = 5x2 Add '-1x3' to each side of the equation. 405b2 + -81b2x + x3 + -1x3 = 5x2 + -1x3 Combine like terms: x3 + -1x3 = 0 405b2 + -81b2x + 0 = 5x2 + -1x3 405b2 + -81b2x = 5x2 + -1x3 Reorder the terms: 405b2 + -81b2x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3 Combine like terms: 5x2 + -5x2 = 0 405b2 + -81b2x + -5x2 + x3 = 0 + -1x3 + x3 405b2 + -81b2x + -5x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 405b2 + -81b2x + -5x2 + x3 = 0 The solution to this equation could not be determined.
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