Solve (6o^5) 6o^5-588o

Question

Simplify the expression

36 o^{10} - 588 o

Evaluate

6 o^{5} \times 6 o^{5} - 588 o

Solution

More Steps

Evaluate

6 o^{5} \times 6 o^{5}

Multiply the terms

36 o^{5} \times o^{5}

Multiply the terms with the same base by adding their exponents

36 o^{5 + 5}

Add the numbers

36 o^{10}

36 o^{10} - 588 o

Show Solution

Factor the expression

12 o (3 o^{9} - 49)

Evaluate

6 o^{5} \times 6 o^{5} - 588 o

Multiply

More Steps

Evaluate

6 o^{5} \times 6 o^{5}

Multiply the terms

36 o^{5} \times o^{5}

Multiply the terms with the same base by adding their exponents

36 o^{5 + 5}

Add the numbers

36 o^{10}

36 o^{10} - 588 o

Rewrite the expression

12 o \times 3 o^{9} - 12 o \times 49

Solution

12 o (3 o^{9} - 49)

Show Solution

Find the roots

o_{1} = 0, o_{2} = \frac{9 321489}{3}

Alternative Form

o_{1} = 0, o_{2} \approx 1.363911

Evaluate

(6 o^{5}) \times 6 o^{5} - 588 o

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

(6 o^{5}) \times 6 o^{5} - 588 o = 0

Multiply the terms

6 o^{5} \times 6 o^{5} - 588 o = 0

Multiply

More Steps

Multiply the terms

6 o^{5} \times 6 o^{5}

Multiply the terms

36 o^{5} \times o^{5}

Multiply the terms with the same base by adding their exponents

36 o^{5 + 5}

Add the numbers

36 o^{10}

36 o^{10} - 588 o = 0

Factor the expression

12 o (3 o^{9} - 49) = 0

Divide both sides

o (3 o^{9} - 49) = 0

Separate the equation into 2 possible cases

o = 0 3 o^{9} - 49 = 0

Solve the equation

More Steps

Evaluate

3 o^{9} - 49 = 0

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

3 o^{9} = 0 + 49

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

3 o^{9} = 49

Divide both sides

\frac{3 o ^{9}}{3} = \frac{49}{3}

Divide the numbers

o^{9} = \frac{49}{3}

Take the 9 -th root on both sides of the equation

9 o^{9} = 9 \frac{49}{3}

Calculate

o = 9 \frac{49}{3}

Simplify the root

More Steps

Evaluate

9 \frac{49}{3}

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

\frac{9 49}{9 3}

Multiply by the Conjugate

\frac{9 49 \times 9 3 ^{8}}{9 3 \times 9 3 ^{8}}

Simplify

\frac{9 49 \times 9 6561}{9 3 \times 9 3 ^{8}}

Multiply the numbers

\frac{9 321489}{9 3 \times 9 3 ^{8}}

Multiply the numbers

\frac{9 321489}{3}

o = \frac{9 321489}{3}

o = 0 o = \frac{9 321489}{3}

Solution

o_{1} = 0, o_{2} = \frac{9 321489}{3}

Alternative Form

o_{1} = 0, o_{2} \approx 1.363911

Show Solution