135=(2y+3)(2y-3)

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Solution for 135=(2y+3)(2y-3) equation: 


Simplifying
135 = (2y + 3)(2y + -3)

Reorder the terms:
135 = (3 + 2y)(2y + -3)

Reorder the terms:
135 = (3 + 2y)(-3 + 2y)

Multiply (3 + 2y) * (-3 + 2y)
135 = (3(-3 + 2y) + 2y * (-3 + 2y))
135 = ((-3 * 3 + 2y * 3) + 2y * (-3 + 2y))
135 = ((-9 + 6y) + 2y * (-3 + 2y))
135 = (-9 + 6y + (-3 * 2y + 2y * 2y))
135 = (-9 + 6y + (-6y + 4y2))

Combine like terms: 6y + -6y = 0
135 = (-9 + 0 + 4y2)
135 = (-9 + 4y2)

Solving
135 = -9 + 4y2

Solving for variable 'y'.

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

Add '-4y2' to each side of the equation.
135 + -4y2 = -9 + 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
135 + -4y2 = -9 + 0
135 + -4y2 = -9

Add '-135' to each side of the equation.
135 + -135 + -4y2 = -9 + -135

Combine like terms: 135 + -135 = 0
0 + -4y2 = -9 + -135
-4y2 = -9 + -135

Combine like terms: -9 + -135 = -144
-4y2 = -144

Divide each side by '-4'.
y2 = 36

Simplifying
y2 = 36

Take the square root of each side:
y = {-6, 6}

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