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

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


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

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

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

Multiply (2 + 5y) * (-7 + 3y)
(2(-7 + 3y) + 5y * (-7 + 3y)) = 0
((-7 * 2 + 3y * 2) + 5y * (-7 + 3y)) = 0
((-14 + 6y) + 5y * (-7 + 3y)) = 0
(-14 + 6y + (-7 * 5y + 3y * 5y)) = 0
(-14 + 6y + (-35y + 15y2)) = 0

Combine like terms: 6y + -35y = -29y
(-14 + -29y + 15y2) = 0

Solving
-14 + -29y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -5y)(7 + -3y) = 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 '(7 + -3y)' equal to zero and attempt to solve:

Simplifying
7 + -3y = 0

Solving
7 + -3y = 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 + -3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 0 + -7
-3y = 0 + -7

Combine like terms: 0 + -7 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333
Solution
y = {-0.4, 2.333333333}

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