y^2+30y+225=0

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Solution for y^2+30y+225=0 equation:


Simplifying
y2 + 30y + 225 = 0

Reorder the terms:
225 + 30y + y2 = 0

Solving
225 + 30y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(15 + y)(15 + y) = 0

Subproblem 1

Set the factor '(15 + y)' equal to zero and attempt to solve: Simplifying 15 + y = 0 Solving 15 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + y = 0 + -15 y = 0 + -15 Combine like terms: 0 + -15 = -15 y = -15 Simplifying y = -15

Subproblem 2

Set the factor '(15 + y)' equal to zero and attempt to solve: Simplifying 15 + y = 0 Solving 15 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + y = 0 + -15 y = 0 + -15 Combine like terms: 0 + -15 = -15 y = -15 Simplifying y = -15

Solution

y = {-15, -15}

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