Solve A=3m^2-4*m^2*(-10)

$$A = 3 m ^ { 2 } - 4 \cdot m ^ { 2 } \cdot ( - 10 )$$

Solve for A

$$A=43m^{2}$$

Solution Steps

Multiply 4 and -10 to get -40.

$$A=3m^{2}-\left(-40m^{2}\right)$$

The opposite of -40m^{2} is 40m^{2}.

$$A=3m^{2}+40m^{2}$$

Combine 3m^{2} and 40m^{2} to get 43m^{2}.

$$A=43m^{2}$$

Solve for m (complex solution)

$$m=-\frac{\sqrt{43A}}{43}$$

$$m=\frac{\sqrt{43A}}{43}$$

Solve for m

$$m=\frac{\sqrt{43A}}{43}$$

$$m=-\frac{\sqrt{43A}}{43}\text{, }A\geq 0$$