(3y-10)(3y-10)=

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Solution for (3y-10)(3y-10)= equation: 


Simplifying
(3y + -10)(3y + -10) = 0

Reorder the terms:
(-10 + 3y)(3y + -10) = 0

Reorder the terms:
(-10 + 3y)(-10 + 3y) = 0

Multiply (-10 + 3y) * (-10 + 3y)
(-10(-10 + 3y) + 3y * (-10 + 3y)) = 0
((-10 * -10 + 3y * -10) + 3y * (-10 + 3y)) = 0
((100 + -30y) + 3y * (-10 + 3y)) = 0
(100 + -30y + (-10 * 3y + 3y * 3y)) = 0
(100 + -30y + (-30y + 9y2)) = 0

Combine like terms: -30y + -30y = -60y
(100 + -60y + 9y2) = 0

Solving
100 + -60y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(10 + -3y)(10 + -3y) = 0


Subproblem 1
Set the factor '(10 + -3y)' equal to zero and attempt to solve:

Simplifying
10 + -3y = 0

Solving
10 + -3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 0 + -10
-3y = 0 + -10

Combine like terms: 0 + -10 = -10
-3y = -10

Divide each side by '-3'.
y = 3.333333333

Simplifying
y = 3.333333333

Subproblem 2
Set the factor '(10 + -3y)' equal to zero and attempt to solve:

Simplifying
10 + -3y = 0

Solving
10 + -3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 0 + -10
-3y = 0 + -10

Combine like terms: 0 + -10 = -10
-3y = -10

Divide each side by '-3'.
y = 3.333333333

Simplifying
y = 3.333333333
Solution
y = {3.333333333, 3.333333333}

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