q(5y+9)(2y+7)=

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Solution for q(5y+9)(2y+7)= equation: 


Simplifying
q(5y + 9)(2y + 7) = 0

Reorder the terms:
q(9 + 5y)(2y + 7) = 0

Reorder the terms:
q(9 + 5y)(7 + 2y) = 0

Multiply (9 + 5y) * (7 + 2y)
q(9(7 + 2y) + 5y * (7 + 2y)) = 0
q((7 * 9 + 2y * 9) + 5y * (7 + 2y)) = 0
q((63 + 18y) + 5y * (7 + 2y)) = 0
q(63 + 18y + (7 * 5y + 2y * 5y)) = 0
q(63 + 18y + (35y + 10y2)) = 0

Combine like terms: 18y + 35y = 53y
q(63 + 53y + 10y2) = 0
(63 * q + 53y * q + 10y2 * q) = 0
(63q + 53qy + 10qy2) = 0

Solving
63q + 53qy + 10qy2 = 0

Solving for variable 'q'.

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

Factor out the Greatest Common Factor (GCF), 'q'.
q(63 + 53y + 10y2) = 0

Factor a trinomial.
q((7 + 2y)(9 + 5y)) = 0


Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0

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 q 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

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

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

Simplifying
0 = -7 + -2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(9 + 5y)' equal to zero and attempt to solve:

Simplifying
9 + 5y = 0

Solving
9 + 5y = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5y = 0 + -9
5y = 0 + -9

Combine like terms: 0 + -9 = -9
5y = -9

Add '-5y' to each side of the equation.
5y + -5y = -9 + -5y

Combine like terms: 5y + -5y = 0
0 = -9 + -5y

Simplifying
0 = -9 + -5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
q = {0}

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