Solve m^22520/5-57

Question

Simplify the expression

Solution

504 m^{2} - 57

Evaluate

m^{2} \times \frac{2520}{5} - 57

Divide the terms

More Steps

Evaluate

\frac{2520}{5}

Reduce the numbers

\frac{504}{1}

Calculate

504

m^{2} \times 504 - 57

Solution

504 m^{2} - 57

Show Solution

Factor the expression

Factor

3 (168 m^{2} - 19)

Evaluate

m^{2} \times \frac{2520}{5} - 57

Divide the terms

More Steps

Evaluate

\frac{2520}{5}

Reduce the numbers

\frac{504}{1}

Calculate

504

m^{2} \times 504 - 57

Use the commutative property to reorder the terms

504 m^{2} - 57

Solution

3 (168 m^{2} - 19)

Show Solution

Find the roots

Find the roots of the algebra expression

m_{1} = - \frac{798}{84}, m_{2} = \frac{798}{84}

Alternative Form

m_{1} \approx - 0.336296, m_{2} \approx 0.336296

Evaluate

m^{2} \times \frac{2520}{5} - 57

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

m^{2} \times \frac{2520}{5} - 57 = 0

Divide the terms

More Steps

Evaluate

\frac{2520}{5}

Reduce the numbers

\frac{504}{1}

Calculate

504

m^{2} \times 504 - 57 = 0

Use the commutative property to reorder the terms

504 m^{2} - 57 = 0

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

504 m^{2} = 0 + 57

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

504 m^{2} = 57

Divide both sides

\frac{504 m ^{2}}{504} = \frac{57}{504}

Divide the numbers

m^{2} = \frac{57}{504}

Cancel out the common factor 3

m^{2} = \frac{19}{168}

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

m = \pm \frac{19}{168}

Simplify the expression

More Steps

Evaluate

\frac{19}{168}

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

\frac{19}{168}

Simplify the radical expression

More Steps

Evaluate

168

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

4 \times 42

Write the number in exponential form with the base of 2

2^{2} \times 42

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

2^{2} \times 42

Reduce the index of the radical and exponent with 2

242

\frac{19}{2 42}

Multiply by the Conjugate

\frac{19 \times 42}{2 42 \times 42}

Multiply the numbers

More Steps

Evaluate

19 \times 42

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

19 \times 42

Calculate the product

798

\frac{798}{2 42 \times 42}

Multiply the numbers

More Steps

Evaluate

242 \times 42

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

2 \times 42

Multiply the terms

84

\frac{798}{84}

m = \pm \frac{798}{84}

Separate the equation into 2 possible cases

m = \frac{798}{84} m = - \frac{798}{84}

Solution

m_{1} = - \frac{798}{84}, m_{2} = \frac{798}{84}

Alternative Form

m_{1} \approx - 0.336296, m_{2} \approx 0.336296

Show Solution

M^22520/5 57

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression