Solve x^23x-12 - ScanMath

Question

Simplify the expression

3 x^{3} - 12

Evaluate

x^{2} \times 3 x - 12

Solution

More Steps

Evaluate

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 12

Show Solution

3 (x^{3} - 4)

Evaluate

x^{2} \times 3 x - 12

Multiply

More Steps

Evaluate

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 12

Solution

3 (x^{3} - 4)

Show Solution

x = 34

Alternative Form

x \approx 1.587401

Evaluate

x^{2} \times 3 x - 12

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

x^{2} \times 3 x - 12 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 12 = 0

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

3 x^{3} = 0 + 12

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

3 x^{3} = 12

Divide both sides

\frac{3 x ^{3}}{3} = \frac{12}{3}

Divide the numbers

x^{3} = \frac{12}{3}

Divide the numbers

More Steps

Evaluate

\frac{12}{3}

Reduce the numbers

\frac{4}{1}

Calculate

4

x^{3} = 4

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

3 x^{3} = 34

Solution

x = 34

Alternative Form

x \approx 1.587401

Show Solution