150y^4-6y^2=

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Solution for 150y^4-6y^2= equation:


Simplifying
150y4 + -6y2 = 0

Reorder the terms:
-6y2 + 150y4 = 0

Solving
-6y2 + 150y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y2'.
6y2(-1 + 25y2) = 0

Factor a difference between two squares.
6y2((1 + 5y)(-1 + 5y)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(1 + 5y)' equal to zero and attempt to solve: Simplifying 1 + 5y = 0 Solving 1 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 0 + -1 5y = 0 + -1 Combine like terms: 0 + -1 = -1 5y = -1 Divide each side by '5'. y = -0.2 Simplifying y = -0.2

Subproblem 3

Set the factor '(-1 + 5y)' equal to zero and attempt to solve: Simplifying -1 + 5y = 0 Solving -1 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = 0 + 1 5y = 0 + 1 Combine like terms: 0 + 1 = 1 5y = 1 Divide each side by '5'. y = 0.2 Simplifying y = 0.2

Solution

y = {0, -0.2, 0.2}

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