84x^4=7x^2

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Solution for 84x^4=7x^2 equation:


Simplifying
84x4 = 7x2

Solving
84x4 = 7x2

Solving for variable 'x'.

Reorder the terms:
-7x2 + 84x4 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x2 + 84x4 = 0

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(-1 + 12x2) = 0

Ignore the factor 7.

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 '(-1 + 12x2)' equal to zero and attempt to solve: Simplifying -1 + 12x2 = 0 Solving -1 + 12x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12x2 = 0 + 1 12x2 = 0 + 1 Combine like terms: 0 + 1 = 1 12x2 = 1 Divide each side by '12'. x2 = 0.08333333333 Simplifying x2 = 0.08333333333 Take the square root of each side: x = {-0.288675135, 0.288675135}

Solution

x = {0, -0.288675135, 0.288675135}

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