y^2+2y=195

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Solution for y^2+2y=195 equation:


Simplifying
y2 + 2y = 195

Reorder the terms:
2y + y2 = 195

Solving
2y + y2 = 195

Solving for variable 'y'.

Reorder the terms:
-195 + 2y + y2 = 195 + -195

Combine like terms: 195 + -195 = 0
-195 + 2y + y2 = 0

Factor a trinomial.
(-15 + -1y)(13 + -1y) = 0

Subproblem 1

Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 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 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15

Subproblem 2

Set the factor '(13 + -1y)' equal to zero and attempt to solve: Simplifying 13 + -1y = 0 Solving 13 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 0 + -13 -1y = 0 + -13 Combine like terms: 0 + -13 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13

Solution

y = {-15, 13}

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