(6+54y)(5y-35)=0

Solution for (6+54y)(5y-35)=0 equation:

Simplifying
(6 + 54y)(5y + -35) = 0

Reorder the terms:
(6 + 54y)(-35 + 5y) = 0

Multiply (6 + 54y) * (-35 + 5y)
(6(-35 + 5y) + 54y * (-35 + 5y)) = 0
((-35 * 6 + 5y * 6) + 54y * (-35 + 5y)) = 0
((-210 + 30y) + 54y * (-35 + 5y)) = 0
(-210 + 30y + (-35 * 54y + 5y * 54y)) = 0
(-210 + 30y + (-1890y + 270y2)) = 0

Combine like terms: 30y + -1890y = -1860y
(-210 + -1860y + 270y2) = 0

Solving
-210 + -1860y + 270y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '30'.
30(-7 + -62y + 9y2) = 0

Factor a trinomial.
30((-1 + -9y)(7 + -1y)) = 0

Ignore the factor 30.
Subproblem 1
Set the factor '(-1 + -9y)' equal to zero and attempt to solve:

Simplifying
-1 + -9y = 0

Solving
-1 + -9y = 0

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

Add '1' to each side of the equation.
-1 + 1 + -9y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9y = 0 + 1
-9y = 0 + 1

Combine like terms: 0 + 1 = 1
-9y = 1

Divide each side by '-9'.
y = -0.1111111111

Simplifying
y = -0.1111111111
Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {-0.1111111111, 7}