Solve 12x^2 13x - 35

Question

Simplify the expression

156 x^{3} - 35

Evaluate

12 x^{2} \times 13 x - 35

Solution

More Steps

Evaluate

12 x^{2} \times 13 x

Multiply the terms

156 x^{2} \times x

Multiply the terms with the same base by adding their exponents

156 x^{2 + 1}

Add the numbers

156 x^{3}

156 x^{3} - 35

Show Solution

x = \frac{3 106470}{78}

Alternative Form

x \approx 0.607642

Evaluate

12 x^{2} \times 13 x - 35

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

12 x^{2} \times 13 x - 35 = 0

Multiply

More Steps

Multiply the terms

12 x^{2} \times 13 x

Multiply the terms

156 x^{2} \times x

Multiply the terms with the same base by adding their exponents

156 x^{2 + 1}

Add the numbers

156 x^{3}

156 x^{3} - 35 = 0

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

156 x^{3} = 0 + 35

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

156 x^{3} = 35

Divide both sides

\frac{156 x ^{3}}{156} = \frac{35}{156}

Divide the numbers

x^{3} = \frac{35}{156}

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

3 x^{3} = 3 \frac{35}{156}

Calculate

x = 3 \frac{35}{156}

Solution

More Steps

Evaluate

3 \frac{35}{156}

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

\frac{3 35}{3 156}

Multiply by the Conjugate

\frac{3 35 \times 3 15 6 ^{2}}{3 156 \times 3 15 6 ^{2}}

Simplify

\frac{3 35 \times 2 3 3042}{3 156 \times 3 15 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

335 \times 233042

Multiply the terms

3106470 \times 2

Use the commutative property to reorder the terms

23106470

\frac{2 3 106470}{3 156 \times 3 15 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

3156 \times 3 15 6^{2}

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

3 156 \times 15 6^{2}

Calculate the product

3 15 6^{3}

Reduce the index of the radical and exponent with 3

156

\frac{2 3 106470}{156}

Cancel out the common factor 2

\frac{3 106470}{78}

x = \frac{3 106470}{78}

Alternative Form

x \approx 0.607642

Show Solution