Solve m^25988/1-928

Question

Simplify the expression

Solution

5988 m^{2} - 928

Evaluate

m^{2} \times \frac{5988}{1} - 928

Divide the terms

m^{2} \times 5988 - 928

Solution

5988 m^{2} - 928

Show Solution

Factor the expression

Factor

4 (1497 m^{2} - 232)

Evaluate

m^{2} \times \frac{5988}{1} - 928

Divide the terms

m^{2} \times 5988 - 928

Use the commutative property to reorder the terms

5988 m^{2} - 928

Solution

4 (1497 m^{2} - 232)

Show Solution

Find the roots

Find the roots of the algebra expression

m_{1} = - \frac{2 86826}{1497}, m_{2} = \frac{2 86826}{1497}

Alternative Form

m_{1} \approx - 0.393671, m_{2} \approx 0.393671

Evaluate

m^{2} \times \frac{5988}{1} - 928

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

m^{2} \times \frac{5988}{1} - 928 = 0

Divide the terms

m^{2} \times 5988 - 928 = 0

Use the commutative property to reorder the terms

5988 m^{2} - 928 = 0

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

5988 m^{2} = 0 + 928

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

5988 m^{2} = 928

Divide both sides

\frac{5988 m ^{2}}{5988} = \frac{928}{5988}

Divide the numbers

m^{2} = \frac{928}{5988}

Cancel out the common factor 4

m^{2} = \frac{232}{1497}

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

m = \pm \frac{232}{1497}

Simplify the expression

More Steps

Evaluate

\frac{232}{1497}

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

\frac{232}{1497}

Simplify the radical expression

More Steps

Evaluate

232

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

4 \times 58

Write the number in exponential form with the base of 2

2^{2} \times 58

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

2^{2} \times 58

Reduce the index of the radical and exponent with 2

258

\frac{2 58}{1497}

Multiply by the Conjugate

\frac{2 58 \times 1497}{1497 \times 1497}

Multiply the numbers

More Steps

Evaluate

58 \times 1497

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

58 \times 1497

Calculate the product

86826

\frac{2 86826}{1497 \times 1497}

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

\frac{2 86826}{1497}

m = \pm \frac{2 86826}{1497}

Separate the equation into 2 possible cases

m = \frac{2 86826}{1497} m = - \frac{2 86826}{1497}

Solution

m_{1} = - \frac{2 86826}{1497}, m_{2} = \frac{2 86826}{1497}

Alternative Form

m_{1} \approx - 0.393671, m_{2} \approx 0.393671

Show Solution

M^25988/1 928

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression