8y^2(y-7)=0

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Solution for 8y^2(y-7)=0 equation: 


Simplifying
8y2(y + -7) = 0

Reorder the terms:
8y2(-7 + y) = 0
(-7 * 8y2 + y * 8y2) = 0
(-56y2 + 8y3) = 0

Solving
-56y2 + 8y3 = 0

Solving for variable 'y'.

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

Ignore the factor 8.

Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
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
Solution
y = {0, 7}

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