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

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


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

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

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

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

Combine like terms: -1y + -7y = -8y
-2y(7 + -8y + y2) = 0
(7 * -2y + -8y * -2y + y2 * -2y) = 0
(-14y + 16y2 + -2y3) = 0

Solving
-14y + 16y2 + -2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-7 + 8y + -1y2) = 0

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

Ignore the factor 2.

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 '(-7 + y)' equal to zero and attempt to solve:

Simplifying
-7 + y = 0

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

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

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

Simplifying
y = 7

Subproblem 3
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
Solution
y = {0, 7, 1}

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