Solve -15m 125m - 9

Question

- 15 m \times 125 m - 9

Simplify the expression

- 1875 m^{2} - 9

Evaluate

- 15 m \times 125 m - 9

Solution

More Steps

Evaluate

- 15 m \times 125 m

Multiply the terms

- 1875 m \times m

Multiply the terms

- 1875 m^{2}

- 1875 m^{2} - 9

Show Solution

Factor the expression

- 3 (625 m^{2} + 3)

Evaluate

- 15 m \times 125 m - 9

Multiply

More Steps

Evaluate

- 15 m \times 125 m

Multiply the terms

- 1875 m \times m

Multiply the terms

- 1875 m^{2}

- 1875 m^{2} - 9

Solution

- 3 (625 m^{2} + 3)

Show Solution

Find the roots

m_{1} = - \frac{3}{25} i, m_{2} = \frac{3}{25} i

Alternative Form

m_{1} \approx - 0.069282 i, m_{2} \approx 0.069282 i

Evaluate

- 15 m \times 125 m - 9

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

- 15 m \times 125 m - 9 = 0

Multiply

More Steps

Multiply the terms

- 15 m \times 125 m

Multiply the terms

- 1875 m \times m

Multiply the terms

- 1875 m^{2}

- 1875 m^{2} - 9 = 0

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

- 1875 m^{2} = 0 + 9

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

- 1875 m^{2} = 9

Change the signs on both sides of the equation

1875 m^{2} = - 9

Divide both sides

\frac{1875 m ^{2}}{1875} = \frac{- 9}{1875}

Divide the numbers

m^{2} = \frac{- 9}{1875}

Divide the numbers

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Evaluate

\frac{- 9}{1875}

Cancel out the common factor 3

\frac{- 3}{625}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{3}{625}

m^{2} = - \frac{3}{625}

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

m = \pm - \frac{3}{625}

Simplify the expression

More Steps

Evaluate

- \frac{3}{625}

Evaluate the power

\frac{3}{625} \times - 1

Evaluate the power

\frac{3}{625} \times i

Evaluate the power

More Steps

Evaluate

\frac{3}{625}

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

\frac{3}{625}

Simplify the radical expression

\frac{3}{25}

\frac{3}{25} i

m = \pm \frac{3}{25} i

Separate the equation into 2 possible cases

m = \frac{3}{25} i m = - \frac{3}{25} i

Solution

m_{1} = - \frac{3}{25} i, m_{2} = \frac{3}{25} i

Alternative Form

m_{1} \approx - 0.069282 i, m_{2} \approx 0.069282 i

Show Solution