Solve 5x^(2) 12x-44 = 0

Question

Solve the equation

x = \frac{3 2475}{15}

Alternative Form

x \approx 0.90178

Evaluate

5 x^{2} \times 12 x - 44 = 0

Multiply

More Steps

Evaluate

5 x^{2} \times 12 x

Multiply the terms

60 x^{2} \times x

Multiply the terms with the same base by adding their exponents

60 x^{2 + 1}

Add the numbers

60 x^{3}

60 x^{3} - 44 = 0

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

60 x^{3} = 0 + 44

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

60 x^{3} = 44

Divide both sides

\frac{60 x ^{3}}{60} = \frac{44}{60}

Divide the numbers

x^{3} = \frac{44}{60}

Cancel out the common factor 4

x^{3} = \frac{11}{15}

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

3 x^{3} = 3 \frac{11}{15}

Calculate

x = 3 \frac{11}{15}

Solution

More Steps

Evaluate

3 \frac{11}{15}

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

\frac{3 11}{3 15}

Multiply by the Conjugate

\frac{3 11 \times 3 1 5 ^{2}}{3 15 \times 3 1 5 ^{2}}

Simplify

\frac{3 11 \times 3 225}{3 15 \times 3 1 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

311 \times 3225

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

3 11 \times 225

Calculate the product

32475

\frac{3 2475}{3 15 \times 3 1 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

315 \times 3 1 5^{2}

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

3 15 \times 1 5^{2}

Calculate the product

3 1 5^{3}

Reduce the index of the radical and exponent with 3

15

\frac{3 2475}{15}

x = \frac{3 2475}{15}

Alternative Form

x \approx 0.90178

Show Solution