Solve 3x^2-4\sqrt 3x^4=0

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Type your math problem... 3x^2-4\sqrt 3x^4=0

Question

Solve the equation

x = 0

Evaluate

3 x^{2} - 4 (3 x)^{4} = 0

Find the domain

More Steps

Evaluate

3 x \geq 0

Rewrite the expression

x \geq 0

3 x^{2} - 4 (3 x)^{4} = 0, x \geq 0

Simplify

More Steps

Evaluate

3 x^{2} - 4 (3 x)^{4}

Multiply the terms

More Steps

Evaluate

4 (3 x)^{4}

Rewrite the expression

4 \times 9 x^{2}

Multiply the numbers

36 x^{2}

3 x^{2} - 36 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(3 - 36) x^{2}

Subtract the numbers

- 33 x^{2}

- 33 x^{2} = 0

Simplify the expression

x = 0

Check if the solution is in the defined range

x = 0, x \geq 0

Find the intersection of the solution and the defined range

x = 0

Solution

More Steps

Check the solution

3 \times 0^{2} - 4 (3 \times 0)^{4} = 0

Simplify

0 = 0

Evaluate

true

x = 0

Show Solution

Graph

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