y^2-2y=48

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Solution for y^2-2y=48 equation:


Simplifying
y2 + -2y = 48

Reorder the terms:
-2y + y2 = 48

Solving
-2y + y2 = 48

Solving for variable 'y'.

Reorder the terms:
-48 + -2y + y2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -2y + y2 = 0

Factor a trinomial.
(-6 + -1y)(8 + -1y) = 0

Subproblem 1

Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 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 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6

Subproblem 2

Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8

Solution

y = {-6, 8}

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