7y(6y-7)+45y=

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Solution for 7y(6y-7)+45y= equation: 


Simplifying
7y(6y + -7) + 45y = 0

Reorder the terms:
7y(-7 + 6y) + 45y = 0
(-7 * 7y + 6y * 7y) + 45y = 0
(-49y + 42y2) + 45y = 0

Reorder the terms:
-49y + 45y + 42y2 = 0

Combine like terms: -49y + 45y = -4y
-4y + 42y2 = 0

Solving
-4y + 42y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-2 + 21y) = 0

Ignore the factor 2.

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 + 21y)' equal to zero and attempt to solve:

Simplifying
-2 + 21y = 0

Solving
-2 + 21y = 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 + 21y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 21y = 0 + 2
21y = 0 + 2

Combine like terms: 0 + 2 = 2
21y = 2

Divide each side by '21'.
y = 0.09523809524

Simplifying
y = 0.09523809524
Solution
y = {0, 0.09523809524}

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