(y-5)*(y-5)=

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Solution for (y-5)*(y-5)= equation:


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

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

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

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

Combine like terms: -5y + -5y = -10y
(25 + -10y + y2) = 0

Solving
25 + -10y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -1y)(5 + -1y) = 0

Subproblem 1

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Subproblem 2

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {5, 5}

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