Solve 6x^2 11x-10

Question

Simplify the expression

Solution

66 x^{3} - 10

Evaluate

6 x^{2} \times 11 x - 10

Solution

More Steps

Evaluate

6 x^{2} \times 11 x

Multiply the terms

66 x^{2} \times x

Multiply the terms with the same base by adding their exponents

66 x^{2 + 1}

Add the numbers

66 x^{3}

66 x^{3} - 10

Show Solution

Factor the expression

Factor

2 (33 x^{3} - 5)

Evaluate

6 x^{2} \times 11 x - 10

Multiply

More Steps

Evaluate

6 x^{2} \times 11 x

Multiply the terms

66 x^{2} \times x

Multiply the terms with the same base by adding their exponents

66 x^{2 + 1}

Add the numbers

66 x^{3}

66 x^{3} - 10

Solution

2 (33 x^{3} - 5)

Show Solution

Find the roots

Find the roots of the algebra expression

x = \frac{3 5445}{33}

Alternative Form

x \approx 0.533112

Evaluate

6 x^{2} \times 11 x - 10

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

6 x^{2} \times 11 x - 10 = 0

Multiply

More Steps

Multiply the terms

6 x^{2} \times 11 x

Multiply the terms

66 x^{2} \times x

Multiply the terms with the same base by adding their exponents

66 x^{2 + 1}

Add the numbers

66 x^{3}

66 x^{3} - 10 = 0

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

66 x^{3} = 0 + 10

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

66 x^{3} = 10

Divide both sides

\frac{66 x ^{3}}{66} = \frac{10}{66}

Divide the numbers

x^{3} = \frac{10}{66}

Cancel out the common factor 2

x^{3} = \frac{5}{33}

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

3 x^{3} = 3 \frac{5}{33}

Calculate

x = 3 \frac{5}{33}

Solution

More Steps

Evaluate

3 \frac{5}{33}

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

\frac{3 5}{3 33}

Multiply by the Conjugate

\frac{3 5 \times 3 3 3 ^{2}}{3 33 \times 3 3 3 ^{2}}

Simplify

\frac{3 5 \times 3 1089}{3 33 \times 3 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 31089

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

3 5 \times 1089

Calculate the product

35445

\frac{3 5445}{3 33 \times 3 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

333 \times 3 3 3^{2}

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

3 33 \times 3 3^{2}

Calculate the product

3 3 3^{3}

Reduce the index of the radical and exponent with 3

33

\frac{3 5445}{33}

x = \frac{3 5445}{33}

Alternative Form

x \approx 0.533112

Show Solution

6x^2 11x 10

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression