y^2+6y+18=18

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Solution for y^2+6y+18=18 equation:


Simplifying
y2 + 6y + 18 = 18

Reorder the terms:
18 + 6y + y2 = 18

Add '-18' to each side of the equation.
18 + 6y + -18 + y2 = 18 + -18

Reorder the terms:
18 + -18 + 6y + y2 = 18 + -18

Combine like terms: 18 + -18 = 0
0 + 6y + y2 = 18 + -18
6y + y2 = 18 + -18

Combine like terms: 18 + -18 = 0
6y + y2 = 0

Solving
6y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(6 + y) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6

Solution

y = {0, -6}

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