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Simplifying
-4(k2 + 3) + 15 = -85
Reorder the terms:
-4(3 + k2) + 15 = -85
(3 * -4 + k2 * -4) + 15 = -85
(-12 + -4k2) + 15 = -85
Reorder the terms:
-12 + 15 + -4k2 = -85
Combine like terms: -12 + 15 = 3
3 + -4k2 = -85
Solving
3 + -4k2 = -85
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -4k2 = -85 + -3
Combine like terms: 3 + -3 = 0
0 + -4k2 = -85 + -3
-4k2 = -85 + -3
Combine like terms: -85 + -3 = -88
-4k2 = -88
Divide each side by '-4'.
k2 = 22
Simplifying
k2 = 22
Take the square root of each side:
k = {-4.69041576, 4.69041576}
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