(4k-4)(8k-7)=

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Solution for (4k-4)(8k-7)= equation: 


Simplifying
(4k + -4)(8k + -7) = 0

Reorder the terms:
(-4 + 4k)(8k + -7) = 0

Reorder the terms:
(-4 + 4k)(-7 + 8k) = 0

Multiply (-4 + 4k) * (-7 + 8k)
(-4(-7 + 8k) + 4k * (-7 + 8k)) = 0
((-7 * -4 + 8k * -4) + 4k * (-7 + 8k)) = 0
((28 + -32k) + 4k * (-7 + 8k)) = 0
(28 + -32k + (-7 * 4k + 8k * 4k)) = 0
(28 + -32k + (-28k + 32k2)) = 0

Combine like terms: -32k + -28k = -60k
(28 + -60k + 32k2) = 0

Solving
28 + -60k + 32k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -15k + 8k2) = 0

Factor a trinomial.
4((7 + -8k)(1 + -1k)) = 0

Ignore the factor 4.

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 '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1k = 0 + -1
-1k = 0 + -1

Combine like terms: 0 + -1 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1
Solution
k = {0.875, 1}

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