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

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


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

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

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

Multiply (-2 + 5y) * (-4 + 7y)
(-2(-4 + 7y) + 5y * (-4 + 7y)) = 0
((-4 * -2 + 7y * -2) + 5y * (-4 + 7y)) = 0
((8 + -14y) + 5y * (-4 + 7y)) = 0
(8 + -14y + (-4 * 5y + 7y * 5y)) = 0
(8 + -14y + (-20y + 35y2)) = 0

Combine like terms: -14y + -20y = -34y
(8 + -34y + 35y2) = 0

Solving
8 + -34y + 35y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 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 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4

Subproblem 2
Set the factor '(4 + -7y)' equal to zero and attempt to solve:

Simplifying
4 + -7y = 0

Solving
4 + -7y = 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 + -7y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7y = 0 + -4
-7y = 0 + -4

Combine like terms: 0 + -4 = -4
-7y = -4

Divide each side by '-7'.
y = 0.5714285714

Simplifying
y = 0.5714285714
Solution
y = {0.4, 0.5714285714}

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