(5z+3y)(-5z+3y)=

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Solution for (5z+3y)(-5z+3y)= equation:


Simplifying
(5z + 3y)(-5z + 3y) = 0

Reorder the terms:
(3y + 5z)(-5z + 3y) = 0

Reorder the terms:
(3y + 5z)(3y + -5z) = 0

Multiply (3y + 5z) * (3y + -5z)
(3y * (3y + -5z) + 5z * (3y + -5z)) = 0
((3y * 3y + -5z * 3y) + 5z * (3y + -5z)) = 0

Reorder the terms:
((-15yz + 9y2) + 5z * (3y + -5z)) = 0
((-15yz + 9y2) + 5z * (3y + -5z)) = 0
(-15yz + 9y2 + (3y * 5z + -5z * 5z)) = 0
(-15yz + 9y2 + (15yz + -25z2)) = 0

Reorder the terms:
(-15yz + 15yz + 9y2 + -25z2) = 0

Combine like terms: -15yz + 15yz = 0
(0 + 9y2 + -25z2) = 0
(9y2 + -25z2) = 0

Solving
9y2 + -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.
9y2 + -25z2 + 25z2 = 0 + 25z2

Combine like terms: -25z2 + 25z2 = 0
9y2 + 0 = 0 + 25z2
9y2 = 0 + 25z2
Remove the zero:
9y2 = 25z2

Divide each side by '9'.
y2 = 2.777777778z2

Simplifying
y2 = 2.777777778z2

Take the square root of each side:
y = {-1.666666667z, 1.666666667z}

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