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Simplifying
-2k2 + -9(-2) + -5(-4) = 0
Multiply -9 * -2
-2k2 + 18 + -5(-4) = 0
Multiply -5 * -4
-2k2 + 18 + 20 = 0
Reorder the terms:
18 + 20 + -2k2 = 0
Combine like terms: 18 + 20 = 38
38 + -2k2 = 0
Solving
38 + -2k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-38' to each side of the equation.
38 + -38 + -2k2 = 0 + -38
Combine like terms: 38 + -38 = 0
0 + -2k2 = 0 + -38
-2k2 = 0 + -38
Combine like terms: 0 + -38 = -38
-2k2 = -38
Divide each side by '-2'.
k2 = 19
Simplifying
k2 = 19
Take the square root of each side:
k = {-4.358898944, 4.358898944}
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