Solve x^2 7x -98 - ScanMath

Question

Simplify the expression

7 x^{3} - 98

Evaluate

x^{2} \times 7 x - 98

Solution

More Steps

Evaluate

x^{2} \times 7 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 7

Add the numbers

x^{3} \times 7

Use the commutative property to reorder the terms

7 x^{3}

7 x^{3} - 98

Show Solution

7 (x^{3} - 14)

Evaluate

x^{2} \times 7 x - 98

Multiply

More Steps

Evaluate

x^{2} \times 7 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 7

Add the numbers

x^{3} \times 7

Use the commutative property to reorder the terms

7 x^{3}

7 x^{3} - 98

Solution

7 (x^{3} - 14)

Show Solution

x = 314

Alternative Form

x \approx 2.410142

Evaluate

x^{2} \times 7 x - 98

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

x^{2} \times 7 x - 98 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 7 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 7

Add the numbers

x^{3} \times 7

Use the commutative property to reorder the terms

7 x^{3}

7 x^{3} - 98 = 0

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

7 x^{3} = 0 + 98

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

7 x^{3} = 98

Divide both sides

\frac{7 x ^{3}}{7} = \frac{98}{7}

Divide the numbers

x^{3} = \frac{98}{7}

Divide the numbers

More Steps

Evaluate

\frac{98}{7}

Reduce the numbers

\frac{14}{1}

Calculate

14

x^{3} = 14

Take the 3 -th root on both sides of the equation

3 x^{3} = 314

Solution

x = 314

Alternative Form

x \approx 2.410142

Show Solution