(5x+4w)(5x-4w)=

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Solution for (5x+4w)(5x-4w)= equation: 


Simplifying
(5x + 4w)(5x + -4w) = 0

Reorder the terms:
(4w + 5x)(5x + -4w) = 0

Reorder the terms:
(4w + 5x)(-4w + 5x) = 0

Multiply (4w + 5x) * (-4w + 5x)
(4w * (-4w + 5x) + 5x * (-4w + 5x)) = 0
((-4w * 4w + 5x * 4w) + 5x * (-4w + 5x)) = 0

Reorder the terms:
((20wx + -16w2) + 5x * (-4w + 5x)) = 0
((20wx + -16w2) + 5x * (-4w + 5x)) = 0
(20wx + -16w2 + (-4w * 5x + 5x * 5x)) = 0
(20wx + -16w2 + (-20wx + 25x2)) = 0

Reorder the terms:
(20wx + -20wx + -16w2 + 25x2) = 0

Combine like terms: 20wx + -20wx = 0
(0 + -16w2 + 25x2) = 0
(-16w2 + 25x2) = 0

Solving
-16w2 + 25x2 = 0

Solving for variable 'w'.

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

Add '-25x2' to each side of the equation.
-16w2 + 25x2 + -25x2 = 0 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-16w2 + 0 = 0 + -25x2
-16w2 = 0 + -25x2
Remove the zero:
-16w2 = -25x2

Divide each side by '-16'.
w2 = 1.5625x2

Simplifying
w2 = 1.5625x2

Take the square root of each side:
w = {-1.25x, 1.25x}

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