2y(7y-4)=6y

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Solution for 2y(7y-4)=6y equation:


Simplifying
2y(7y + -4) = 6y

Reorder the terms:
2y(-4 + 7y) = 6y
(-4 * 2y + 7y * 2y) = 6y
(-8y + 14y2) = 6y

Solving
-8y + 14y2 = 6y

Solving for variable 'y'.

Reorder the terms:
-8y + -6y + 14y2 = 6y + -6y

Combine like terms: -8y + -6y = -14y
-14y + 14y2 = 6y + -6y

Combine like terms: 6y + -6y = 0
-14y + 14y2 = 0

Factor out the Greatest Common Factor (GCF), '14y'.
14y(-1 + y) = 0

Ignore the factor 14.

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

Simplifying
-1 + y = 0

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

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

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

Simplifying
y = 1
Solution
y = {0, 1}

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