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Simplifying
4x2 + -8b2 = 8b2
Reorder the terms:
-8b2 + 4x2 = 8b2
Solving
-8b2 + 4x2 = 8b2
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-8b2' to each side of the equation.
-8b2 + -8b2 + 4x2 = 8b2 + -8b2
Combine like terms: -8b2 + -8b2 = -16b2
-16b2 + 4x2 = 8b2 + -8b2
Combine like terms: 8b2 + -8b2 = 0
-16b2 + 4x2 = 0
Add '-4x2' to each side of the equation.
-16b2 + 4x2 + -4x2 = 0 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-16b2 + 0 = 0 + -4x2
-16b2 = 0 + -4x2
Remove the zero:
-16b2 = -4x2
Divide each side by '-16'.
b2 = 0.25x2
Simplifying
b2 = 0.25x2
Take the square root of each side:
b = {-0.5x, 0.5x}
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