2y(5y-4)-4y(4y-5)=

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Solution for 2y(5y-4)-4y(4y-5)= equation:


Simplifying
2y(5y + -4) + -4y(4y + -5) = 0

Reorder the terms:
2y(-4 + 5y) + -4y(4y + -5) = 0
(-4 * 2y + 5y * 2y) + -4y(4y + -5) = 0
(-8y + 10y2) + -4y(4y + -5) = 0

Reorder the terms:
-8y + 10y2 + -4y(-5 + 4y) = 0
-8y + 10y2 + (-5 * -4y + 4y * -4y) = 0
-8y + 10y2 + (20y + -16y2) = 0

Reorder the terms:
-8y + 20y + 10y2 + -16y2 = 0

Combine like terms: -8y + 20y = 12y
12y + 10y2 + -16y2 = 0

Combine like terms: 10y2 + -16y2 = -6y2
12y + -6y2 = 0

Solving
12y + -6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(2 + -1y) = 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 '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {0, 2}

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