5y^2-7y+1=1

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Solution for 5y^2-7y+1=1 equation: 


Simplifying
5y2 + -7y + 1 = 1

Reorder the terms:
1 + -7y + 5y2 = 1

Add '-1' to each side of the equation.
1 + -7y + -1 + 5y2 = 1 + -1

Reorder the terms:
1 + -1 + -7y + 5y2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -7y + 5y2 = 1 + -1
-7y + 5y2 = 1 + -1

Combine like terms: 1 + -1 = 0
-7y + 5y2 = 0

Solving
-7y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-7 + 5y) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-7 + 5y)' equal to zero and attempt to solve:

Simplifying
-7 + 5y = 0

Solving
-7 + 5y = 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 + 5y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5y = 0 + 7
5y = 0 + 7

Combine like terms: 0 + 7 = 7
5y = 7

Divide each side by '5'.
y = 1.4

Simplifying
y = 1.4
Solution
y = {0, 1.4}

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