10x^2=3x^4

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Solution for 10x^2=3x^4 equation:


Simplifying
10x2 = 3x4

Solving
10x2 = 3x4

Solving for variable 'x'.

Combine like terms: 3x4 + -3x4 = 0
10x2 + -3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(10 + -3x2) = 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 '(10 + -3x2)' equal to zero and attempt to solve: Simplifying 10 + -3x2 = 0 Solving 10 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x2 = 0 + -10 -3x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3x2 = -10 Divide each side by '-3'. x2 = 3.333333333 Simplifying x2 = 3.333333333 Take the square root of each side: x = {-1.825741858, 1.825741858}

Solution

x = {0, -1.825741858, 1.825741858}

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