(5z-6y)(5z+6y)=

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Solution for (5z-6y)(5z+6y)= equation: 


Simplifying
(5z + -6y)(5z + 6y) = 0

Reorder the terms:
(-6y + 5z)(5z + 6y) = 0

Reorder the terms:
(-6y + 5z)(6y + 5z) = 0

Multiply (-6y + 5z) * (6y + 5z)
(-6y * (6y + 5z) + 5z * (6y + 5z)) = 0
((6y * -6y + 5z * -6y) + 5z * (6y + 5z)) = 0

Reorder the terms:
((-30yz + -36y2) + 5z * (6y + 5z)) = 0
((-30yz + -36y2) + 5z * (6y + 5z)) = 0
(-30yz + -36y2 + (6y * 5z + 5z * 5z)) = 0
(-30yz + -36y2 + (30yz + 25z2)) = 0

Reorder the terms:
(-30yz + 30yz + -36y2 + 25z2) = 0

Combine like terms: -30yz + 30yz = 0
(0 + -36y2 + 25z2) = 0
(-36y2 + 25z2) = 0

Solving
-36y2 + 25z2 = 0

Solving for variable 'y'.

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

Add '-25z2' to each side of the equation.
-36y2 + 25z2 + -25z2 = 0 + -25z2

Combine like terms: 25z2 + -25z2 = 0
-36y2 + 0 = 0 + -25z2
-36y2 = 0 + -25z2
Remove the zero:
-36y2 = -25z2

Divide each side by '-36'.
y2 = 0.6944444444z2

Simplifying
y2 = 0.6944444444z2

Take the square root of each side:
y = {-0.833333333z, 0.833333333z}

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