y^2-2*y=3

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Solution for y^2-2*y=3 equation:


Simplifying
y2 + -2y = 3

Reorder the terms:
-2y + y2 = 3

Solving
-2y + y2 = 3

Solving for variable 'y'.

Reorder the terms:
-3 + -2y + y2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -2y + y2 = 0

Factor a trinomial.
(-1 + -1y)(3 + -1y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3

Solution

y = {-1, 3}

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