(7-2k)(2k-7)=

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Solution for (7-2k)(2k-7)= equation: 


Simplifying
(7 + -2k)(2k + -7) = 0

Reorder the terms:
(7 + -2k)(-7 + 2k) = 0

Multiply (7 + -2k) * (-7 + 2k)
(7(-7 + 2k) + -2k * (-7 + 2k)) = 0
((-7 * 7 + 2k * 7) + -2k * (-7 + 2k)) = 0
((-49 + 14k) + -2k * (-7 + 2k)) = 0
(-49 + 14k + (-7 * -2k + 2k * -2k)) = 0
(-49 + 14k + (14k + -4k2)) = 0

Combine like terms: 14k + 14k = 28k
(-49 + 28k + -4k2) = 0

Solving
-49 + 28k + -4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + 2k)(7 + -2k) = 0


Subproblem 1
Set the factor '(-7 + 2k)' equal to zero and attempt to solve:

Simplifying
-7 + 2k = 0

Solving
-7 + 2k = 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 + 2k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2k = 0 + 7
2k = 0 + 7

Combine like terms: 0 + 7 = 7
2k = 7

Divide each side by '2'.
k = 3.5

Simplifying
k = 3.5

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

Simplifying
7 + -2k = 0

Solving
7 + -2k = 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 + -2k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2k = 0 + -7
-2k = 0 + -7

Combine like terms: 0 + -7 = -7
-2k = -7

Divide each side by '-2'.
k = 3.5

Simplifying
k = 3.5
Solution
k = {3.5, 3.5}

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