6y(4y+9)=0

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Solution for 6y(4y+9)=0 equation:


Simplifying
6y(4y + 9) = 0

Reorder the terms:
6y(9 + 4y) = 0
(9 * 6y + 4y * 6y) = 0
(54y + 24y2) = 0

Solving
54y + 24y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(9 + 4y) = 0

Ignore the factor 6.

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 '(9 + 4y)' equal to zero and attempt to solve:

Simplifying
9 + 4y = 0

Solving
9 + 4y = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 0 + -9
4y = 0 + -9

Combine like terms: 0 + -9 = -9
4y = -9

Divide each side by '4'.
y = -2.25

Simplifying
y = -2.25
Solution
y = {0, -2.25}

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