5x^4=3x^2

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Solution for 5x^4=3x^2 equation:


Simplifying
5x4 = 3x2

Solving
5x4 = 3x2

Solving for variable 'x'.

Reorder the terms:
-3x2 + 5x4 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3x2 + 5x4 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3 + 5x2) = 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 '(-3 + 5x2)' equal to zero and attempt to solve: Simplifying -3 + 5x2 = 0 Solving -3 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x2 = 0 + 3 5x2 = 0 + 3 Combine like terms: 0 + 3 = 3 5x2 = 3 Divide each side by '5'. x2 = 0.6 Simplifying x2 = 0.6 Take the square root of each side: x = {-0.774596669, 0.774596669}

Solution

x = {0, -0.774596669, 0.774596669}

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