y^2+20y+75=0

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Solution for y^2+20y+75=0 equation:


Simplifying
y2 + 20y + 75 = 0

Reorder the terms:
75 + 20y + y2 = 0

Solving
75 + 20y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(15 + y)(5 + 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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5

Solution

y = {-15, -5}

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