(y-7)(8y+25)=0

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Solution for (y-7)(8y+25)=0 equation: 


Simplifying
(y + -7)(8y + 25) = 0

Reorder the terms:
(-7 + y)(8y + 25) = 0

Reorder the terms:
(-7 + y)(25 + 8y) = 0

Multiply (-7 + y) * (25 + 8y)
(-7(25 + 8y) + y(25 + 8y)) = 0
((25 * -7 + 8y * -7) + y(25 + 8y)) = 0
((-175 + -56y) + y(25 + 8y)) = 0
(-175 + -56y + (25 * y + 8y * y)) = 0
(-175 + -56y + (25y + 8y2)) = 0

Combine like terms: -56y + 25y = -31y
(-175 + -31y + 8y2) = 0

Solving
-175 + -31y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-25 + -8y)(7 + -1y) = 0


Subproblem 1
Set the factor '(-25 + -8y)' equal to zero and attempt to solve:

Simplifying
-25 + -8y = 0

Solving
-25 + -8y = 0

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

Add '25' to each side of the equation.
-25 + 25 + -8y = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -8y = 0 + 25
-8y = 0 + 25

Combine like terms: 0 + 25 = 25
-8y = 25

Divide each side by '-8'.
y = -3.125

Simplifying
y = -3.125

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 = {-3.125, 7}

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