144x^4-25x^2=0

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Solution for 144x^4-25x^2=0 equation:


Simplifying
144x4 + -25x2 = 0

Reorder the terms:
-25x2 + 144x4 = 0

Solving
-25x2 + 144x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-25 + 144x2) = 0

Factor a difference between two squares.
x2((5 + 12x)(-5 + 12x)) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(5 + 12x)' equal to zero and attempt to solve: Simplifying 5 + 12x = 0 Solving 5 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 0 + -5 12x = 0 + -5 Combine like terms: 0 + -5 = -5 12x = -5 Divide each side by '12'. x = -0.4166666667 Simplifying x = -0.4166666667

Subproblem 3

Set the factor '(-5 + 12x)' equal to zero and attempt to solve: Simplifying -5 + 12x = 0 Solving -5 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 0 + 5 12x = 0 + 5 Combine like terms: 0 + 5 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667

Solution

x = {0, -0.4166666667, 0.4166666667}

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