(5W+6U)(5W-6U)=

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Solution for (5W+6U)(5W-6U)= equation: 


Simplifying
(5W + 6U)(5W + -6U) = 0

Reorder the terms:
(6U + 5W)(5W + -6U) = 0

Reorder the terms:
(6U + 5W)(-6U + 5W) = 0

Multiply (6U + 5W) * (-6U + 5W)
(6U * (-6U + 5W) + 5W * (-6U + 5W)) = 0
((-6U * 6U + 5W * 6U) + 5W * (-6U + 5W)) = 0

Reorder the terms:
((30UW + -36U2) + 5W * (-6U + 5W)) = 0
((30UW + -36U2) + 5W * (-6U + 5W)) = 0
(30UW + -36U2 + (-6U * 5W + 5W * 5W)) = 0
(30UW + -36U2 + (-30UW + 25W2)) = 0

Reorder the terms:
(30UW + -30UW + -36U2 + 25W2) = 0

Combine like terms: 30UW + -30UW = 0
(0 + -36U2 + 25W2) = 0
(-36U2 + 25W2) = 0

Solving
-36U2 + 25W2 = 0

Solving for variable 'U'.

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

Add '-25W2' to each side of the equation.
-36U2 + 25W2 + -25W2 = 0 + -25W2

Combine like terms: 25W2 + -25W2 = 0
-36U2 + 0 = 0 + -25W2
-36U2 = 0 + -25W2
Remove the zero:
-36U2 = -25W2

Divide each side by '-36'.
U2 = 0.6944444444W2

Simplifying
U2 = 0.6944444444W2

Take the square root of each side:
U = {-0.833333333W, 0.833333333W}

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