(5k-7)(7k-7)=

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


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

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

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

Multiply (-7 + 5k) * (-7 + 7k)
(-7(-7 + 7k) + 5k * (-7 + 7k)) = 0
((-7 * -7 + 7k * -7) + 5k * (-7 + 7k)) = 0
((49 + -49k) + 5k * (-7 + 7k)) = 0
(49 + -49k + (-7 * 5k + 7k * 5k)) = 0
(49 + -49k + (-35k + 35k2)) = 0

Combine like terms: -49k + -35k = -84k
(49 + -84k + 35k2) = 0

Solving
49 + -84k + 35k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '7'.
7(7 + -12k + 5k2) = 0

Factor a trinomial.
7((1 + -1k)(7 + -5k)) = 0

Ignore the factor 7.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -5k)' equal to zero and attempt to solve:

Simplifying
7 + -5k = 0

Solving
7 + -5k = 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 + -5k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5k = 0 + -7
-5k = 0 + -7

Combine like terms: 0 + -7 = -7
-5k = -7

Divide each side by '-5'.
k = 1.4

Simplifying
k = 1.4
Solution
k = {1, 1.4}

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