Solve 2x^24=4x^36

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Example problems

Type your math problem... 2x^24=4x^36

Question

Solve the equation

x_{1} = 0, x_{2} = \frac{1}{3}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{3}

Evaluate

2 x^{2} \times 4 = 4 x^{3} \times 6

Simplify

2 x^{2} = x^{3} \times 6

Use the commutative property to reorder the terms

2 x^{2} = 6 x^{3}

Add or subtract both sides

2 x^{2} - 6 x^{3} = 0

Factor the expression

2 x^{2} (1 - 3 x) = 0

Divide both sides

x^{2} (1 - 3 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 1 - 3 x = 0

The only way a power can be 0 is when the base equals 0

x = 0 1 - 3 x = 0

Solve the equation

More Steps

Evaluate

1 - 3 x = 0

Move the constant to the right-hand side and change its sign

- 3 x = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

- 3 x = - 1

Change the signs on both sides of the equation

3 x = 1

Divide both sides

\frac{3 x}{3} = \frac{1}{3}

Divide the numbers

x = \frac{1}{3}

x = 0 x = \frac{1}{3}

Solution

x_{1} = 0, x_{2} = \frac{1}{3}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{3}

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