(4k-5)(7k+7)=

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Solution for (4k-5)(7k+7)= equation: 


Simplifying
(4k + -5)(7k + 7) = 0

Reorder the terms:
(-5 + 4k)(7k + 7) = 0

Reorder the terms:
(-5 + 4k)(7 + 7k) = 0

Multiply (-5 + 4k) * (7 + 7k)
(-5(7 + 7k) + 4k * (7 + 7k)) = 0
((7 * -5 + 7k * -5) + 4k * (7 + 7k)) = 0
((-35 + -35k) + 4k * (7 + 7k)) = 0
(-35 + -35k + (7 * 4k + 7k * 4k)) = 0
(-35 + -35k + (28k + 28k2)) = 0

Combine like terms: -35k + 28k = -7k
(-35 + -7k + 28k2) = 0

Solving
-35 + -7k + 28k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-5 + -1k + 4k2) = 0

Factor a trinomial.
7((-1 + -1k)(5 + -4k)) = 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 '(5 + -4k)' equal to zero and attempt to solve:

Simplifying
5 + -4k = 0

Solving
5 + -4k = 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 + -4k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4k = 0 + -5
-4k = 0 + -5

Combine like terms: 0 + -5 = -5
-4k = -5

Divide each side by '-4'.
k = 1.25

Simplifying
k = 1.25
Solution
k = {-1, 1.25}

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