15t^4-15t^2=0

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Solution for 15t^4-15t^2=0 equation:


Simplifying
15t4 + -15t2 = 0

Reorder the terms:
-15t2 + 15t4 = 0

Solving
-15t2 + 15t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '15t2'.
15t2(-1 + t2) = 0

Factor a difference between two squares.
15t2((1 + t)(-1 + t)) = 0

Ignore the factor 15.

Subproblem 1

Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}

Subproblem 2

Set the factor '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1

Subproblem 3

Set the factor '(-1 + t)' equal to zero and attempt to solve: Simplifying -1 + t = 0 Solving -1 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + t = 0 + 1 t = 0 + 1 Combine like terms: 0 + 1 = 1 t = 1 Simplifying t = 1

Solution

t = {0, -1, 1}

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