29(y-4)(y-11)y=0

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Solution for 29(y-4)(y-11)y=0 equation: 


Simplifying
29(y + -4)(y + -11) * y = 0

Reorder the terms:
29(-4 + y)(y + -11) * y = 0

Reorder the terms:
29(-4 + y)(-11 + y) * y = 0

Reorder the terms for easier multiplication:
29y(-4 + y)(-11 + y) = 0

Multiply (-4 + y) * (-11 + y)
29y(-4(-11 + y) + y(-11 + y)) = 0
29y((-11 * -4 + y * -4) + y(-11 + y)) = 0
29y((44 + -4y) + y(-11 + y)) = 0
29y(44 + -4y + (-11 * y + y * y)) = 0
29y(44 + -4y + (-11y + y2)) = 0

Combine like terms: -4y + -11y = -15y
29y(44 + -15y + y2) = 0
(44 * 29y + -15y * 29y + y2 * 29y) = 0
(1276y + -435y2 + 29y3) = 0

Solving
1276y + -435y2 + 29y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '29y'.
29y(44 + -15y + y2) = 0

Factor a trinomial.
29y((4 + -1y)(11 + -1y)) = 0

Ignore the factor 29.

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 '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

Subproblem 3
Set the factor '(11 + -1y)' equal to zero and attempt to solve:

Simplifying
11 + -1y = 0

Solving
11 + -1y = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1y = 0 + -11
-1y = 0 + -11

Combine like terms: 0 + -11 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11
Solution
y = {0, 4, 11}

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