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Simplifying
25t2 + -100b2 = 0
Reorder the terms:
-100b2 + 25t2 = 0
Solving
-100b2 + 25t2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-25t2' to each side of the equation.
-100b2 + 25t2 + -25t2 = 0 + -25t2
Combine like terms: 25t2 + -25t2 = 0
-100b2 + 0 = 0 + -25t2
-100b2 = 0 + -25t2
Remove the zero:
-100b2 = -25t2
Divide each side by '-100'.
b2 = 0.25t2
Simplifying
b2 = 0.25t2
Take the square root of each side:
b = {-0.5t, 0.5t}
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