y(2y-7)(y-1)=0

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Solution for y(2y-7)(y-1)=0 equation: 


Simplifying
y(2y + -7)(y + -1) = 0

Reorder the terms:
y(-7 + 2y)(y + -1) = 0

Reorder the terms:
y(-7 + 2y)(-1 + y) = 0

Multiply (-7 + 2y) * (-1 + y)
y(-7(-1 + y) + 2y * (-1 + y)) = 0
y((-1 * -7 + y * -7) + 2y * (-1 + y)) = 0
y((7 + -7y) + 2y * (-1 + y)) = 0
y(7 + -7y + (-1 * 2y + y * 2y)) = 0
y(7 + -7y + (-2y + 2y2)) = 0

Combine like terms: -7y + -2y = -9y
y(7 + -9y + 2y2) = 0
(7 * y + -9y * y + 2y2 * y) = 0
(7y + -9y2 + 2y3) = 0

Solving
7y + -9y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(7 + -9y + 2y2) = 0

Factor a trinomial.
y((1 + -1y)(7 + -2y)) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
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 3
Set the factor '(7 + -2y)' equal to zero and attempt to solve:

Simplifying
7 + -2y = 0

Solving
7 + -2y = 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 + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 0 + -7
-2y = 0 + -7

Combine like terms: 0 + -7 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5
Solution
y = {0, 1, 3.5}

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