7y^2-70y+147=0

Solution for 7y^2-70y+147=0 equation:

Simplifying
7y2 + -70y + 147 = 0

Reorder the terms:
147 + -70y + 7y2 = 0

Solving
147 + -70y + 7y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7'.
7(21 + -10y + y2) = 0

Factor a trinomial.
7((3 + -1y)(7 + -1y)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
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 = {3, 7}