(7v-4w)(7v-4w)=

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Solution for (7v-4w)(7v-4w)= equation: 


Simplifying
(7v + -4w)(7v + -4w) = 0

Multiply (7v + -4w) * (7v + -4w)
(7v * (7v + -4w) + -4w * (7v + -4w)) = 0
((7v * 7v + -4w * 7v) + -4w * (7v + -4w)) = 0

Reorder the terms:
((-28vw + 49v2) + -4w * (7v + -4w)) = 0
((-28vw + 49v2) + -4w * (7v + -4w)) = 0
(-28vw + 49v2 + (7v * -4w + -4w * -4w)) = 0
(-28vw + 49v2 + (-28vw + 16w2)) = 0

Reorder the terms:
(-28vw + -28vw + 49v2 + 16w2) = 0

Combine like terms: -28vw + -28vw = -56vw
(-56vw + 49v2 + 16w2) = 0

Solving
-56vw + 49v2 + 16w2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7v + -4w)(7v + -4w) = 0


Subproblem 1
Set the factor '(7v + -4w)' equal to zero and attempt to solve:

Simplifying
7v + -4w = 0

Solving
7v + -4w = 0

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

Add '4w' to each side of the equation.
7v + -4w + 4w = 0 + 4w

Combine like terms: -4w + 4w = 0
7v + 0 = 0 + 4w
7v = 0 + 4w
Remove the zero:
7v = 4w

Divide each side by '7'.
v = 0.5714285714w

Simplifying
v = 0.5714285714w

Subproblem 2
Set the factor '(7v + -4w)' equal to zero and attempt to solve:

Simplifying
7v + -4w = 0

Solving
7v + -4w = 0

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

Add '4w' to each side of the equation.
7v + -4w + 4w = 0 + 4w

Combine like terms: -4w + 4w = 0
7v + 0 = 0 + 4w
7v = 0 + 4w
Remove the zero:
7v = 4w

Divide each side by '7'.
v = 0.5714285714w

Simplifying
v = 0.5714285714w
Solution
v = {0.5714285714w, 0.5714285714w}

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