Solve 8x^2 46x-12

Question

Simplify the expression

368 x^{3} - 12

Evaluate

8 x^{2} \times 46 x - 12

Solution

More Steps

Evaluate

8 x^{2} \times 46 x

Multiply the terms

368 x^{2} \times x

Multiply the terms with the same base by adding their exponents

368 x^{2 + 1}

Add the numbers

368 x^{3}

368 x^{3} - 12

Show Solution

Factor the expression

4 (92 x^{3} - 3)

Evaluate

8 x^{2} \times 46 x - 12

Multiply

More Steps

Evaluate

8 x^{2} \times 46 x

Multiply the terms

368 x^{2} \times x

Multiply the terms with the same base by adding their exponents

368 x^{2 + 1}

Add the numbers

368 x^{3}

368 x^{3} - 12

Solution

4 (92 x^{3} - 3)

Show Solution

Find the roots

x = \frac{3 3174}{46}

Alternative Form

x \approx 0.319481

Evaluate

8 x^{2} \times 46 x - 12

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

8 x^{2} \times 46 x - 12 = 0

Multiply

More Steps

Multiply the terms

8 x^{2} \times 46 x

Multiply the terms

368 x^{2} \times x

Multiply the terms with the same base by adding their exponents

368 x^{2 + 1}

Add the numbers

368 x^{3}

368 x^{3} - 12 = 0

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

368 x^{3} = 0 + 12

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

368 x^{3} = 12

Divide both sides

\frac{368 x ^{3}}{368} = \frac{12}{368}

Divide the numbers

x^{3} = \frac{12}{368}

Cancel out the common factor 4

x^{3} = \frac{3}{92}

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

3 x^{3} = 3 \frac{3}{92}

Calculate

x = 3 \frac{3}{92}

Solution

More Steps

Evaluate

3 \frac{3}{92}

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

\frac{3 3}{3 92}

Multiply by the Conjugate

\frac{3 3 \times 3 9 2 ^{2}}{3 92 \times 3 9 2 ^{2}}

Simplify

\frac{3 3 \times 2 3 1058}{3 92 \times 3 9 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 231058

Multiply the terms

33174 \times 2

Use the commutative property to reorder the terms

233174

\frac{2 3 3174}{3 92 \times 3 9 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

392 \times 3 9 2^{2}

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

3 92 \times 9 2^{2}

Calculate the product

3 9 2^{3}

Reduce the index of the radical and exponent with 3

92

\frac{2 3 3174}{92}

Cancel out the common factor 2

\frac{3 3174}{46}

x = \frac{3 3174}{46}

Alternative Form

x \approx 0.319481

Show Solution