8y^2+25y-28=0

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Solution for 8y^2+25y-28=0 equation: 


Simplifying
8y2 + 25y + -28 = 0

Reorder the terms:
-28 + 25y + 8y2 = 0

Solving
-28 + 25y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(7 + -8y) = 0


Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve:

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

Subproblem 2
Set the factor '(7 + -8y)' equal to zero and attempt to solve:

Simplifying
7 + -8y = 0

Solving
7 + -8y = 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 + -8y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8y = 0 + -7
-8y = 0 + -7

Combine like terms: 0 + -7 = -7
-8y = -7

Divide each side by '-8'.
y = 0.875

Simplifying
y = 0.875
Solution
y = {-4, 0.875}

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