(y-10)(y-10)=0

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Solution for (y-10)(y-10)=0 equation: 


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

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

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

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

Combine like terms: -10y + -10y = -20y
(100 + -20y + y2) = 0

Solving
100 + -20y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(10 + -1y)(10 + -1y) = 0


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

Simplifying
10 + -1y = 0

Solving
10 + -1y = 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 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10

Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 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 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Solution
y = {10, 10}

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