2y^2-11y+10=(y-2)(y-2)

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Solution for 2y^2-11y+10=(y-2)(y-2) equation: 


Simplifying
2y2 + -11y + 10 = (y + -2)(y + -2)

Reorder the terms:
10 + -11y + 2y2 = (y + -2)(y + -2)

Reorder the terms:
10 + -11y + 2y2 = (-2 + y)(y + -2)

Reorder the terms:
10 + -11y + 2y2 = (-2 + y)(-2 + y)

Multiply (-2 + y) * (-2 + y)
10 + -11y + 2y2 = (-2(-2 + y) + y(-2 + y))
10 + -11y + 2y2 = ((-2 * -2 + y * -2) + y(-2 + y))
10 + -11y + 2y2 = ((4 + -2y) + y(-2 + y))
10 + -11y + 2y2 = (4 + -2y + (-2 * y + y * y))
10 + -11y + 2y2 = (4 + -2y + (-2y + y2))

Combine like terms: -2y + -2y = -4y
10 + -11y + 2y2 = (4 + -4y + y2)

Solving
10 + -11y + 2y2 = 4 + -4y + y2

Solving for variable 'y'.

Reorder the terms:
10 + -4 + -11y + 4y + 2y2 + -1y2 = 4 + -4y + y2 + -4 + 4y + -1y2

Combine like terms: 10 + -4 = 6
6 + -11y + 4y + 2y2 + -1y2 = 4 + -4y + y2 + -4 + 4y + -1y2

Combine like terms: -11y + 4y = -7y
6 + -7y + 2y2 + -1y2 = 4 + -4y + y2 + -4 + 4y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
6 + -7y + 1y2 = 4 + -4y + y2 + -4 + 4y + -1y2

Reorder the terms:
6 + -7y + 1y2 = 4 + -4 + -4y + 4y + y2 + -1y2

Combine like terms: 4 + -4 = 0
6 + -7y + 1y2 = 0 + -4y + 4y + y2 + -1y2
6 + -7y + 1y2 = -4y + 4y + y2 + -1y2

Combine like terms: -4y + 4y = 0
6 + -7y + 1y2 = 0 + y2 + -1y2
6 + -7y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
6 + -7y + 1y2 = 0

Factor a trinomial.
(1 + -1y)(6 + -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 '(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
Solution
y = {1, 6}

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