(7-y)(5y-2)=0

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Solution for (7-y)(5y-2)=0 equation: 


Simplifying
(7 + -1y)(5y + -2) = 0

Reorder the terms:
(7 + -1y)(-2 + 5y) = 0

Multiply (7 + -1y) * (-2 + 5y)
(7(-2 + 5y) + -1y * (-2 + 5y)) = 0
((-2 * 7 + 5y * 7) + -1y * (-2 + 5y)) = 0
((-14 + 35y) + -1y * (-2 + 5y)) = 0
(-14 + 35y + (-2 * -1y + 5y * -1y)) = 0
(-14 + 35y + (2y + -5y2)) = 0

Combine like terms: 35y + 2y = 37y
(-14 + 37y + -5y2) = 0

Solving
-14 + 37y + -5y2 = 0

Solving for variable 'y'.

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


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

Simplifying
-7 + y = 0

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

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

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

Simplifying
y = 7

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

Simplifying
2 + -5y = 0

Solving
2 + -5y = 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 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {7, 0.4}

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