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

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


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

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

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

Multiply (-6 + 5y) * (6 + 5y)
(-6(6 + 5y) + 5y * (6 + 5y)) = 0
((6 * -6 + 5y * -6) + 5y * (6 + 5y)) = 0
((-36 + -30y) + 5y * (6 + 5y)) = 0
(-36 + -30y + (6 * 5y + 5y * 5y)) = 0
(-36 + -30y + (30y + 25y2)) = 0

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

Solving
-36 + 25y2 = 0

Solving for variable 'y'.

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

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

Combine like terms: -36 + 36 = 0
0 + 25y2 = 0 + 36
25y2 = 0 + 36

Combine like terms: 0 + 36 = 36
25y2 = 36

Divide each side by '25'.
y2 = 1.44

Simplifying
y2 = 1.44

Take the square root of each side:
y = {-1.2, 1.2}

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