Solve x^2 2x-80 - ScanMath

Question

Simplify the expression

2 x^{3} - 80

Evaluate

x^{2} \times 2 x - 80

Solution

More Steps

Evaluate

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 80

Show Solution

2 (x^{3} - 40)

Evaluate

x^{2} \times 2 x - 80

Multiply

More Steps

Evaluate

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 80

Solution

2 (x^{3} - 40)

Show Solution

x = 235

Alternative Form

x \approx 3.419952

Evaluate

x^{2} \times 2 x - 80

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

x^{2} \times 2 x - 80 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 80 = 0

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

2 x^{3} = 0 + 80

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

2 x^{3} = 80

Divide both sides

\frac{2 x ^{3}}{2} = \frac{80}{2}

Divide the numbers

x^{3} = \frac{80}{2}

Divide the numbers

More Steps

Evaluate

\frac{80}{2}

Reduce the numbers

\frac{40}{1}

Calculate

40

x^{3} = 40

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

3 x^{3} = 340

Calculate

x = 340

Solution

More Steps

Evaluate

340

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 5

Write the number in exponential form with the base of 2

3 2^{3} \times 5

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 35

Reduce the index of the radical and exponent with 3

235

x = 235

Alternative Form

x \approx 3.419952

Show Solution