Solve 2x^2 12x-5 - ScanMath

Question

Simplify the expression

24 x^{3} - 5

Evaluate

2 x^{2} \times 12 x - 5

Solution

More Steps

Evaluate

2 x^{2} \times 12 x

Multiply the terms

24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

24 x^{2 + 1}

Add the numbers

24 x^{3}

24 x^{3} - 5

Show Solution

x = \frac{3 45}{6}

Alternative Form

x \approx 0.592816

Evaluate

2 x^{2} \times 12 x - 5

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

2 x^{2} \times 12 x - 5 = 0

Multiply

More Steps

Multiply the terms

2 x^{2} \times 12 x

Multiply the terms

24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

24 x^{2 + 1}

Add the numbers

24 x^{3}

24 x^{3} - 5 = 0

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

24 x^{3} = 0 + 5

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

24 x^{3} = 5

Divide both sides

\frac{24 x ^{3}}{24} = \frac{5}{24}

Divide the numbers

x^{3} = \frac{5}{24}

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

3 x^{3} = 3 \frac{5}{24}

Calculate

x = 3 \frac{5}{24}

Solution

More Steps

Evaluate

3 \frac{5}{24}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 5}{3 24}

Simplify the radical expression

More Steps

Evaluate

324

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

3 8 \times 3

Write the number in exponential form with the base of 2

3 2^{3} \times 3

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

3 2^{3} \times 33

Reduce the index of the radical and exponent with 3

233

\frac{3 5}{2 3 3}

Multiply by the Conjugate

\frac{3 5 \times 3 3 ^{2}}{2 3 3 \times 3 3 ^{2}}

Simplify

\frac{3 5 \times 3 9}{2 3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 39

The product of roots with the same index is equal to the root of the product

3 5 \times 9

Calculate the product

345

\frac{3 45}{2 3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

233 \times 3 3^{2}

Multiply the terms

2 \times 3

Multiply the terms

6

\frac{3 45}{6}

x = \frac{3 45}{6}

Alternative Form

x \approx 0.592816

Show Solution