4y(3y-7)+24y=

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Solution for 4y(3y-7)+24y= equation: 


Simplifying
4y(3y + -7) + 24y = 0

Reorder the terms:
4y(-7 + 3y) + 24y = 0
(-7 * 4y + 3y * 4y) + 24y = 0
(-28y + 12y2) + 24y = 0

Reorder the terms:
-28y + 24y + 12y2 = 0

Combine like terms: -28y + 24y = -4y
-4y + 12y2 = 0

Solving
-4y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-1 + 3y) = 0

Ignore the factor 4.

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 + 3y)' equal to zero and attempt to solve:

Simplifying
-1 + 3y = 0

Solving
-1 + 3y = 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 + 3y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3y = 0 + 1
3y = 0 + 1

Combine like terms: 0 + 1 = 1
3y = 1

Divide each side by '3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Solution
y = {0, 0.3333333333}

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