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Simplifying
-4k2 + -8 + -3 = -3 + -5k2
Reorder the terms:
-8 + -3 + -4k2 = -3 + -5k2
Combine like terms: -8 + -3 = -11
-11 + -4k2 = -3 + -5k2
Solving
-11 + -4k2 = -3 + -5k2
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '5k2' to each side of the equation.
-11 + -4k2 + 5k2 = -3 + -5k2 + 5k2
Combine like terms: -4k2 + 5k2 = 1k2
-11 + 1k2 = -3 + -5k2 + 5k2
Combine like terms: -5k2 + 5k2 = 0
-11 + 1k2 = -3 + 0
-11 + 1k2 = -3
Add '11' to each side of the equation.
-11 + 11 + 1k2 = -3 + 11
Combine like terms: -11 + 11 = 0
0 + 1k2 = -3 + 11
1k2 = -3 + 11
Combine like terms: -3 + 11 = 8
1k2 = 8
Divide each side by '1'.
k2 = 8
Simplifying
k2 = 8
Take the square root of each side:
k = {-2.828427125, 2.828427125}
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