9x^4-12x^2+x^2=0

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Solution for 9x^4-12x^2+x^2=0 equation:


Simplifying
9x4 + -12x2 + x2 = 0

Reorder the terms:
-12x2 + x2 + 9x4 = 0

Combine like terms: -12x2 + x2 = -11x2
-11x2 + 9x4 = 0

Solving
-11x2 + 9x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-11 + 9x2) = 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 '(-11 + 9x2)' equal to zero and attempt to solve: Simplifying -11 + 9x2 = 0 Solving -11 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 9x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 9x2 = 0 + 11 9x2 = 0 + 11 Combine like terms: 0 + 11 = 11 9x2 = 11 Divide each side by '9'. x2 = 1.222222222 Simplifying x2 = 1.222222222 Take the square root of each side: x = {-1.105541597, 1.105541597}

Solution

x = {0, -1.105541597, 1.105541597}

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