(6+45y)(5y-35)=0

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Solution for (6+45y)(5y-35)=0 equation: 


Simplifying
(6 + 45y)(5y + -35) = 0

Reorder the terms:
(6 + 45y)(-35 + 5y) = 0

Multiply (6 + 45y) * (-35 + 5y)
(6(-35 + 5y) + 45y * (-35 + 5y)) = 0
((-35 * 6 + 5y * 6) + 45y * (-35 + 5y)) = 0
((-210 + 30y) + 45y * (-35 + 5y)) = 0
(-210 + 30y + (-35 * 45y + 5y * 45y)) = 0
(-210 + 30y + (-1575y + 225y2)) = 0

Combine like terms: 30y + -1575y = -1545y
(-210 + -1545y + 225y2) = 0

Solving
-210 + -1545y + 225y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-14 + -103y + 15y2) = 0

Factor a trinomial.
15((-2 + -15y)(7 + -1y)) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(-2 + -15y)' equal to zero and attempt to solve:

Simplifying
-2 + -15y = 0

Solving
-2 + -15y = 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 + -15y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -15y = 0 + 2
-15y = 0 + 2

Combine like terms: 0 + 2 = 2
-15y = 2

Divide each side by '-15'.
y = -0.1333333333

Simplifying
y = -0.1333333333

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 = {-0.1333333333, 7}

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