7y(4y-6)+34y=

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Solution for 7y(4y-6)+34y= equation: 


Simplifying
7y(4y + -6) + 34y = 0

Reorder the terms:
7y(-6 + 4y) + 34y = 0
(-6 * 7y + 4y * 7y) + 34y = 0
(-42y + 28y2) + 34y = 0

Reorder the terms:
-42y + 34y + 28y2 = 0

Combine like terms: -42y + 34y = -8y
-8y + 28y2 = 0

Solving
-8y + 28y2 = 0

Solving for variable 'y'.

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

Simplifying
-2 + 7y = 0

Solving
-2 + 7y = 0

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

Add '2' to each side of the equation.
-2 + 2 + 7y = 0 + 2

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

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

Divide each side by '7'.
y = 0.2857142857

Simplifying
y = 0.2857142857
Solution
y = {0, 0.2857142857}

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