5y^2+30y*40=0

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Solution for 5y^2+30y*40=0 equation: 


Simplifying
5y2 + 30y * 40 = 0

Reorder the terms for easier multiplication:
5y2 + 30 * 40y = 0

Multiply 30 * 40
5y2 + 1200y = 0

Reorder the terms:
1200y + 5y2 = 0

Solving
1200y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(240 + y) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(240 + y)' equal to zero and attempt to solve:

Simplifying
240 + y = 0

Solving
240 + y = 0

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

Add '-240' to each side of the equation.
240 + -240 + y = 0 + -240

Combine like terms: 240 + -240 = 0
0 + y = 0 + -240
y = 0 + -240

Combine like terms: 0 + -240 = -240
y = -240

Simplifying
y = -240
Solution
y = {0, -240}

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