Solve 9x^2 6x - 14

Question

Simplify the expression

54 x^{3} - 14

Evaluate

9 x^{2} \times 6 x - 14

Solution

More Steps

Evaluate

9 x^{2} \times 6 x

Multiply the terms

54 x^{2} \times x

Multiply the terms with the same base by adding their exponents

54 x^{2 + 1}

Add the numbers

54 x^{3}

54 x^{3} - 14

Show Solution

2 (27 x^{3} - 7)

Evaluate

9 x^{2} \times 6 x - 14

Multiply

More Steps

Evaluate

9 x^{2} \times 6 x

Multiply the terms

54 x^{2} \times x

Multiply the terms with the same base by adding their exponents

54 x^{2 + 1}

Add the numbers

54 x^{3}

54 x^{3} - 14

Solution

2 (27 x^{3} - 7)

Show Solution

x = \frac{3 7}{3}

Alternative Form

x \approx 0.637644

Evaluate

9 x^{2} \times 6 x - 14

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

9 x^{2} \times 6 x - 14 = 0

Multiply

More Steps

Multiply the terms

9 x^{2} \times 6 x

Multiply the terms

54 x^{2} \times x

Multiply the terms with the same base by adding their exponents

54 x^{2 + 1}

Add the numbers

54 x^{3}

54 x^{3} - 14 = 0

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

54 x^{3} = 0 + 14

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

54 x^{3} = 14

Divide both sides

\frac{54 x ^{3}}{54} = \frac{14}{54}

Divide the numbers

x^{3} = \frac{14}{54}

Cancel out the common factor 2

x^{3} = \frac{7}{27}

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

3 x^{3} = 3 \frac{7}{27}

Calculate

x = 3 \frac{7}{27}

Solution

More Steps

Evaluate

3 \frac{7}{27}

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

\frac{3 7}{3 27}

Simplify the radical expression

More Steps

Evaluate

327

Write the number in exponential form with the base of 3

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 7}{3}

x = \frac{3 7}{3}

Alternative Form

x \approx 0.637644

Show Solution