0=(y*y)-43y+450

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Solution for 0=(y*y)-43y+450 equation:


Simplifying
0 = (y * y) + -43y + 450

Multiply y * y
0 = (y2) + -43y + 450
0 = y2 + -43y + 450

Reorder the terms:
0 = 450 + -43y + y2

Solving
0 = 450 + -43y + y2

Solving for variable 'y'.

Combine like terms: 0 + -450 = -450
-450 + 43y + -1y2 = 450 + -43y + y2 + -450 + 43y + -1y2

Reorder the terms:
-450 + 43y + -1y2 = 450 + -450 + -43y + 43y + y2 + -1y2

Combine like terms: 450 + -450 = 0
-450 + 43y + -1y2 = 0 + -43y + 43y + y2 + -1y2
-450 + 43y + -1y2 = -43y + 43y + y2 + -1y2

Combine like terms: -43y + 43y = 0
-450 + 43y + -1y2 = 0 + y2 + -1y2
-450 + 43y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-450 + 43y + -1y2 = 0

Factor a trinomial.
(-25 + y)(18 + -1y) = 0


Subproblem 1
Set the factor '(-25 + y)' equal to zero and attempt to solve:

Simplifying
-25 + y = 0

Solving
-25 + y = 0

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

Add '25' to each side of the equation.
-25 + 25 + y = 0 + 25

Combine like terms: -25 + 25 = 0
0 + y = 0 + 25
y = 0 + 25

Combine like terms: 0 + 25 = 25
y = 25

Simplifying
y = 25

Subproblem 2
Set the factor '(18 + -1y)' equal to zero and attempt to solve:

Simplifying
18 + -1y = 0

Solving
18 + -1y = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = 0 + -18
-1y = 0 + -18

Combine like terms: 0 + -18 = -18
-1y = -18

Divide each side by '-1'.
y = 18

Simplifying
y = 18
Solution
y = {25, 18}

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