(y^2+4y-21)(5y-25)=0

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Solution for (y^2+4y-21)(5y-25)=0 equation: 


Simplifying
(y2 + 4y + -21)(5y + -25) = 0

Reorder the terms:
(-21 + 4y + y2)(5y + -25) = 0

Reorder the terms:
(-21 + 4y + y2)(-25 + 5y) = 0

Multiply (-21 + 4y + y2) * (-25 + 5y)
(-21(-25 + 5y) + 4y * (-25 + 5y) + y2(-25 + 5y)) = 0
((-25 * -21 + 5y * -21) + 4y * (-25 + 5y) + y2(-25 + 5y)) = 0
((525 + -105y) + 4y * (-25 + 5y) + y2(-25 + 5y)) = 0
(525 + -105y + (-25 * 4y + 5y * 4y) + y2(-25 + 5y)) = 0
(525 + -105y + (-100y + 20y2) + y2(-25 + 5y)) = 0
(525 + -105y + -100y + 20y2 + (-25 * y2 + 5y * y2)) = 0
(525 + -105y + -100y + 20y2 + (-25y2 + 5y3)) = 0

Combine like terms: -105y + -100y = -205y
(525 + -205y + 20y2 + -25y2 + 5y3) = 0

Combine like terms: 20y2 + -25y2 = -5y2
(525 + -205y + -5y2 + 5y3) = 0

Solving
525 + -205y + -5y2 + 5y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(105 + -41y + -1y2 + y3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(105 + -41y + -1y2 + y3)' equal to zero and attempt to solve:

Simplifying
105 + -41y + -1y2 + y3 = 0

Solving
105 + -41y + -1y2 + y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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