Solve 54x^242x^3 - 30x^4

Question

Simplify the expression

2268 x^{5} - 30 x^{4}

Evaluate

54 x^{2} \times 42 x^{3} - 30 x^{4}

Solution

More Steps

Evaluate

54 x^{2} \times 42 x^{3}

Multiply the terms

2268 x^{2} \times x^{3}

Multiply the terms with the same base by adding their exponents

2268 x^{2 + 3}

Add the numbers

2268 x^{5}

2268 x^{5} - 30 x^{4}

Show Solution

6 x^{4} (378 x - 5)

Evaluate

54 x^{2} \times 42 x^{3} - 30 x^{4}

Multiply

More Steps

Evaluate

54 x^{2} \times 42 x^{3}

Multiply the terms

2268 x^{2} \times x^{3}

Multiply the terms with the same base by adding their exponents

2268 x^{2 + 3}

Add the numbers

2268 x^{5}

2268 x^{5} - 30 x^{4}

Rewrite the expression

6 x^{4} \times 378 x - 6 x^{4} \times 5

Solution

6 x^{4} (378 x - 5)

Show Solution

x_{1} = 0, x_{2} = \frac{5}{378}

Alternative Form

x_{1} = 0, x_{2} = 0.0 \dot{1} 3227 \dot{5}

Evaluate

54 x^{2} \times 42 x^{3} - 30 x^{4}

To find the roots of the expression,set the expression equal to 0

54 x^{2} \times 42 x^{3} - 30 x^{4} = 0

Multiply

More Steps

Multiply the terms

54 x^{2} \times 42 x^{3}

Multiply the terms

2268 x^{2} \times x^{3}

Multiply the terms with the same base by adding their exponents

2268 x^{2 + 3}

Add the numbers

2268 x^{5}

2268 x^{5} - 30 x^{4} = 0

Factor the expression

6 x^{4} (378 x - 5) = 0

Divide both sides

x^{4} (378 x - 5) = 0

Separate the equation into 2 possible cases

x^{4} = 0 378 x - 5 = 0

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

x = 0 378 x - 5 = 0

Solve the equation

More Steps

Evaluate

378 x - 5 = 0

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

378 x = 0 + 5

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

378 x = 5

Divide both sides

\frac{378 x}{378} = \frac{5}{378}

Divide the numbers

x = \frac{5}{378}

x = 0 x = \frac{5}{378}

Solution

x_{1} = 0, x_{2} = \frac{5}{378}

Alternative Form

x_{1} = 0, x_{2} = 0.0 \dot{1} 3227 \dot{5}

Show Solution