(2y-7)(3y*2+y-5)=

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Solution for (2y-7)(3y*2+y-5)= equation: 


Simplifying
(2y + -7)(3y * 2 + y + -5) = 0

Reorder the terms:
(-7 + 2y)(3y * 2 + y + -5) = 0

Reorder the terms for easier multiplication:
(-7 + 2y)(3 * 2y + y + -5) = 0

Multiply 3 * 2
(-7 + 2y)(6y + y + -5) = 0

Reorder the terms:
(-7 + 2y)(-5 + 6y + y) = 0

Combine like terms: 6y + y = 7y
(-7 + 2y)(-5 + 7y) = 0

Multiply (-7 + 2y) * (-5 + 7y)
(-7(-5 + 7y) + 2y * (-5 + 7y)) = 0
((-5 * -7 + 7y * -7) + 2y * (-5 + 7y)) = 0
((35 + -49y) + 2y * (-5 + 7y)) = 0
(35 + -49y + (-5 * 2y + 7y * 2y)) = 0
(35 + -49y + (-10y + 14y2)) = 0

Combine like terms: -49y + -10y = -59y
(35 + -59y + 14y2) = 0

Solving
35 + -59y + 14y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(5 + -7y)' equal to zero and attempt to solve:

Simplifying
5 + -7y = 0

Solving
5 + -7y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7y = 0 + -5
-7y = 0 + -5

Combine like terms: 0 + -5 = -5
-7y = -5

Divide each side by '-7'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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

Simplifying
7 + -2y = 0

Solving
7 + -2y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 0 + -7
-2y = 0 + -7

Combine like terms: 0 + -7 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5
Solution
y = {0.7142857143, 3.5}

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