Solve x^32x-6 - ScanMath

Question

Simplify the expression

2 x^{4} - 6

Evaluate

x^{3} \times 2 x - 6

Solution

More Steps

Evaluate

x^{3} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{3 + 1} \times 2

Add the numbers

x^{4} \times 2

Use the commutative property to reorder the terms

2 x^{4}

2 x^{4} - 6

Show Solution

2 (x^{4} - 3)

Evaluate

x^{3} \times 2 x - 6

Multiply

More Steps

Evaluate

x^{3} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{3 + 1} \times 2

Add the numbers

x^{4} \times 2

Use the commutative property to reorder the terms

2 x^{4}

2 x^{4} - 6

Solution

2 (x^{4} - 3)

Show Solution

x_{1} = - 43, x_{2} = 43

Alternative Form

x_{1} \approx - 1.316074, x_{2} \approx 1.316074

Evaluate

x^{3} \times 2 x - 6

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

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

Multiply

More Steps

Multiply the terms

x^{3} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{3 + 1} \times 2

Add the numbers

x^{4} \times 2

Use the commutative property to reorder the terms

2 x^{4}

2 x^{4} - 6 = 0

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

2 x^{4} = 0 + 6

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

2 x^{4} = 6

Divide both sides

\frac{2 x ^{4}}{2} = \frac{6}{2}

Divide the numbers

x^{4} = \frac{6}{2}

Divide the numbers

More Steps

Evaluate

\frac{6}{2}

Reduce the numbers

\frac{3}{1}

Calculate

3

x^{4} = 3

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

x = \pm 43

Separate the equation into 2 possible cases

x = 43 x = - 43

Solution

x_{1} = - 43, x_{2} = 43

Alternative Form

x_{1} \approx - 1.316074, x_{2} \approx 1.316074

Show Solution