5y^2+20y-1600=0

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Solution for 5y^2+20y-1600=0 equation:


Simplifying
5y2 + 20y + -1600 = 0

Reorder the terms:
-1600 + 20y + 5y2 = 0

Solving
-1600 + 20y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-320 + 4y + y2) = 0

Factor a trinomial.
5((-20 + -1y)(16 + -1y)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-20 + -1y)' equal to zero and attempt to solve: Simplifying -20 + -1y = 0 Solving -20 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1y = 0 + 20 -1y = 0 + 20 Combine like terms: 0 + 20 = 20 -1y = 20 Divide each side by '-1'. y = -20 Simplifying y = -20

Subproblem 2

Set the factor '(16 + -1y)' equal to zero and attempt to solve: Simplifying 16 + -1y = 0 Solving 16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1y = 0 + -16 -1y = 0 + -16 Combine like terms: 0 + -16 = -16 -1y = -16 Divide each side by '-1'. y = 16 Simplifying y = 16

Solution

y = {-20, 16}

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