Solve 300 c^20150-60

Question

Simplify the expression

45000 c^{2} - 60

Evaluate

300 c^{2} \times 150 - 60

Solution

45000 c^{2} - 60

Show Solution

60 (750 c^{2} - 1)

Evaluate

300 c^{2} \times 150 - 60

Multiply the terms

45000 c^{2} - 60

Solution

60 (750 c^{2} - 1)

Show Solution

c_{1} = - \frac{30}{150}, c_{2} = \frac{30}{150}

Alternative Form

c_{1} \approx - 0.036515, c_{2} \approx 0.036515

Evaluate

300 c^{2} \times 150 - 60

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

300 c^{2} \times 150 - 60 = 0

Multiply the terms

45000 c^{2} - 60 = 0

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

45000 c^{2} = 0 + 60

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

45000 c^{2} = 60

Divide both sides

\frac{45000 c ^{2}}{45000} = \frac{60}{45000}

Divide the numbers

c^{2} = \frac{60}{45000}

Cancel out the common factor 60

c^{2} = \frac{1}{750}

Take the root of both sides of the equation and remember to use both positive and negative roots

c = \pm \frac{1}{750}

Simplify the expression

More Steps

Evaluate

\frac{1}{750}

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

\frac{1}{750}

Simplify the radical expression

\frac{1}{750}

Simplify the radical expression

More Steps

Evaluate

750

Write the expression as a product where the root of one of the factors can be evaluated

25 \times 30

Write the number in exponential form with the base of 5

5^{2} \times 30

The root of a product is equal to the product of the roots of each factor

5^{2} \times 30

Reduce the index of the radical and exponent with 2

530

\frac{1}{5 30}

Multiply by the Conjugate

\frac{30}{5 30 \times 30}

Multiply the numbers

More Steps

Evaluate

530 \times 30

When a square root of an expression is multiplied by itself,the result is that expression

5 \times 30

Multiply the terms

150

\frac{30}{150}

c = \pm \frac{30}{150}

Separate the equation into 2 possible cases

c = \frac{30}{150} c = - \frac{30}{150}

Solution

c_{1} = - \frac{30}{150}, c_{2} = \frac{30}{150}

Alternative Form

c_{1} \approx - 0.036515, c_{2} \approx 0.036515

Show Solution