Solve 30-40m^2 - ScanMath

Evaluate

30 - 40 m^{2}

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

30 - 40 m^{2} = 0

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

- 40 m^{2} = 0 - 30

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

- 40 m^{2} = - 30

Change the signs on both sides of the equation

40 m^{2} = 30

Divide both sides

\frac{40 m ^{2}}{40} = \frac{30}{40}

Divide the numbers

m^{2} = \frac{30}{40}

Cancel out the common factor 10

m^{2} = \frac{3}{4}

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

m = \pm \frac{3}{4}

Simplify the expression

More Steps

m = \pm \frac{3}{2}

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

m_{1} \approx - 0.866025, m_{2} \approx 0.866025

Factor the expression