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Simplifying
(x2 + -9b)(x2 + 9b) = 0
Reorder the terms:
(-9b + x2)(x2 + 9b) = 0
Reorder the terms:
(-9b + x2)(9b + x2) = 0
Multiply (-9b + x2) * (9b + x2)
(-9b * (9b + x2) + x2(9b + x2)) = 0
((9b * -9b + x2 * -9b) + x2(9b + x2)) = 0
Reorder the terms:
((-9bx2 + -81b2) + x2(9b + x2)) = 0
((-9bx2 + -81b2) + x2(9b + x2)) = 0
(-9bx2 + -81b2 + (9b * x2 + x2 * x2)) = 0
(-9bx2 + -81b2 + (9bx2 + x4)) = 0
Reorder the terms:
(-9bx2 + 9bx2 + -81b2 + x4) = 0
Combine like terms: -9bx2 + 9bx2 = 0
(0 + -81b2 + x4) = 0
(-81b2 + x4) = 0
Solving
-81b2 + x4 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-1x4' to each side of the equation.
-81b2 + x4 + -1x4 = 0 + -1x4
Combine like terms: x4 + -1x4 = 0
-81b2 + 0 = 0 + -1x4
-81b2 = 0 + -1x4
Remove the zero:
-81b2 = -1x4
Divide each side by '-81'.
b2 = 0.01234567901x4
Simplifying
b2 = 0.01234567901x4
Take the square root of each side:
b = {-0.111111111x2, 0.111111111x2}
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