5(I+7)-8k(k-8)=

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Solution for 5(I+7)-8k(k-8)= equation: 


Simplifying
5(I + 7) + -8k(k + -8) = 0

Reorder the terms:
5(7 + I) + -8k(k + -8) = 0
(7 * 5 + I * 5) + -8k(k + -8) = 0
(35 + 5I) + -8k(k + -8) = 0

Reorder the terms:
35 + 5I + -8k(-8 + k) = 0
35 + 5I + (-8 * -8k + k * -8k) = 0
35 + 5I + (64k + -8k2) = 0

Solving
35 + 5I + 64k + -8k2 = 0

Solving for variable 'I'.

Move all terms containing I to the left, all other terms to the right.

Add '-35' to each side of the equation.
35 + 5I + 64k + -35 + -8k2 = 0 + -35

Reorder the terms:
35 + -35 + 5I + 64k + -8k2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 5I + 64k + -8k2 = 0 + -35
5I + 64k + -8k2 = 0 + -35

Combine like terms: 0 + -35 = -35
5I + 64k + -8k2 = -35

Add '-64k' to each side of the equation.
5I + 64k + -64k + -8k2 = -35 + -64k

Combine like terms: 64k + -64k = 0
5I + 0 + -8k2 = -35 + -64k
5I + -8k2 = -35 + -64k

Add '8k2' to each side of the equation.
5I + -8k2 + 8k2 = -35 + -64k + 8k2

Combine like terms: -8k2 + 8k2 = 0
5I + 0 = -35 + -64k + 8k2
5I = -35 + -64k + 8k2

Divide each side by '5'.
I = -7 + -12.8k + 1.6k2

Simplifying
I = -7 + -12.8k + 1.6k2

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