4y(2y-7)=0

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Solution for 4y(2y-7)=0 equation: 


Simplifying
4y(2y + -7) = 0

Reorder the terms:
4y(-7 + 2y) = 0
(-7 * 4y + 2y * 4y) = 0
(-28y + 8y2) = 0

Solving
-28y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-7 + 2y) = 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 '(-7 + 2y)' equal to zero and attempt to solve:

Simplifying
-7 + 2y = 0

Solving
-7 + 2y = 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 + 2y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2y = 0 + 7
2y = 0 + 7

Combine like terms: 0 + 7 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5
Solution
y = {0, 3.5}

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