y^2+168-31y=0

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Solution for y^2+168-31y=0 equation:


Simplifying
y2 + 168 + -31y = 0

Reorder the terms:
168 + -31y + y2 = 0

Solving
168 + -31y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -1y)(24 + -1y) = 0


Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

Subproblem 2
Set the factor '(24 + -1y)' equal to zero and attempt to solve:

Simplifying
24 + -1y = 0

Solving
24 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + -1y = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = 0 + -24
-1y = 0 + -24

Combine like terms: 0 + -24 = -24
-1y = -24

Divide each side by '-1'.
y = 24

Simplifying
y = 24
Solution
y = {7, 24}

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