Solve 2x^3x-20 - ScanMath

Question

Simplify the expression

Solution

2 x^{4} - 20

Evaluate

2 x^{3} \times x - 20

Solution

More Steps

Evaluate

2 x^{3} \times x

Multiply the terms with the same base by adding their exponents

2 x^{3 + 1}

Add the numbers

2 x^{4}

2 x^{4} - 20

Show Solution

Factor

2 (x^{4} - 10)

Evaluate

2 x^{3} \times x - 20

Multiply

More Steps

Evaluate

2 x^{3} \times x

Multiply the terms with the same base by adding their exponents

2 x^{3 + 1}

Add the numbers

2 x^{4}

2 x^{4} - 20

Solution

2 (x^{4} - 10)

Show Solution

Find the roots of the algebra expression

x_{1} = - 410, x_{2} = 410

Alternative Form

x_{1} \approx - 1.778279, x_{2} \approx 1.778279

Evaluate

2 x^{3} \times x - 20

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

2 x^{3} \times x - 20 = 0

Multiply

More Steps

Multiply the terms

2 x^{3} \times x

Multiply the terms with the same base by adding their exponents

2 x^{3 + 1}

Add the numbers

2 x^{4}

2 x^{4} - 20 = 0

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

2 x^{4} = 0 + 20

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

2 x^{4} = 20

Divide both sides

\frac{2 x ^{4}}{2} = \frac{20}{2}

Divide the numbers

x^{4} = \frac{20}{2}

Divide the numbers

More Steps

Evaluate

\frac{20}{2}

Reduce the numbers

\frac{10}{1}

Calculate

10

x^{4} = 10

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 410

Separate the equation into 2 possible cases

x = 410 x = - 410

Solution

x_{1} = - 410, x_{2} = 410

Alternative Form

x_{1} \approx - 1.778279, x_{2} \approx 1.778279

Show Solution