(5y-4)(7y-2)=

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Solution for (5y-4)(7y-2)= equation: 


Simplifying
(5y + -4)(7y + -2) = 0

Reorder the terms:
(-4 + 5y)(7y + -2) = 0

Reorder the terms:
(-4 + 5y)(-2 + 7y) = 0

Multiply (-4 + 5y) * (-2 + 7y)
(-4(-2 + 7y) + 5y * (-2 + 7y)) = 0
((-2 * -4 + 7y * -4) + 5y * (-2 + 7y)) = 0
((8 + -28y) + 5y * (-2 + 7y)) = 0
(8 + -28y + (-2 * 5y + 7y * 5y)) = 0
(8 + -28y + (-10y + 35y2)) = 0

Combine like terms: -28y + -10y = -38y
(8 + -38y + 35y2) = 0

Solving
8 + -38y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -7y)(4 + -5y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {0.2857142857, 0.8}

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