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

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


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

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

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

Multiply (-5 + 8k) * (7 + 8k)
(-5(7 + 8k) + 8k * (7 + 8k)) = 0
((7 * -5 + 8k * -5) + 8k * (7 + 8k)) = 0
((-35 + -40k) + 8k * (7 + 8k)) = 0
(-35 + -40k + (7 * 8k + 8k * 8k)) = 0
(-35 + -40k + (56k + 64k2)) = 0

Combine like terms: -40k + 56k = 16k
(-35 + 16k + 64k2) = 0

Solving
-35 + 16k + 64k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + -8k)(5 + -8k) = 0


Subproblem 1
Set the factor '(-7 + -8k)' equal to zero and attempt to solve:

Simplifying
-7 + -8k = 0

Solving
-7 + -8k = 0

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

Add '7' to each side of the equation.
-7 + 7 + -8k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8k = 0 + 7
-8k = 0 + 7

Combine like terms: 0 + 7 = 7
-8k = 7

Divide each side by '-8'.
k = -0.875

Simplifying
k = -0.875

Subproblem 2
Set the factor '(5 + -8k)' equal to zero and attempt to solve:

Simplifying
5 + -8k = 0

Solving
5 + -8k = 0

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

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

Combine like terms: 5 + -5 = 0
0 + -8k = 0 + -5
-8k = 0 + -5

Combine like terms: 0 + -5 = -5
-8k = -5

Divide each side by '-8'.
k = 0.625

Simplifying
k = 0.625
Solution
k = {-0.875, 0.625}

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