(5y+5)(5y+5)=

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


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

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

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

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

Combine like terms: 25y + 25y = 50y
(25 + 50y + 25y2) = 0

Solving
25 + 50y + 25y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '25'.
25(1 + 2y + y2) = 0

Factor a trinomial.
25((1 + y)(1 + y)) = 0

Ignore the factor 25.

Subproblem 1

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

Subproblem 2

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

Solution

y = {-1, -1}

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