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Simplifying
4x2 + k2 = 2k2
Reorder the terms:
k2 + 4x2 = 2k2
Solving
k2 + 4x2 = 2k2
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-2k2' to each side of the equation.
k2 + -2k2 + 4x2 = 2k2 + -2k2
Combine like terms: k2 + -2k2 = -1k2
-1k2 + 4x2 = 2k2 + -2k2
Combine like terms: 2k2 + -2k2 = 0
-1k2 + 4x2 = 0
Add '-4x2' to each side of the equation.
-1k2 + 4x2 + -4x2 = 0 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-1k2 + 0 = 0 + -4x2
-1k2 = 0 + -4x2
Remove the zero:
-1k2 = -4x2
Divide each side by '-1'.
k2 = 4x2
Simplifying
k2 = 4x2
Take the square root of each side:
k = {-2x, 2x}
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