Solve Delta=24^2-a*(-2)*(-72)

$$\Delta = 24 ^ { 2 } - a \cdot ( - 2 ) \cdot ( - 72 )$$

Solve for a

$$a=-\frac{\Delta }{144}+4$$

Steps for Solving Linear Equation

Calculate 24 to the power of 2 and get 576.

$$\Delta =576-a\left(-2\right)\left(-72\right)$$

Multiply -2 and -72 to get 144.

$$\Delta =576-a\times 144$$

Swap sides so that all variable terms are on the left hand side.

$$576-a\times 144=\Delta$$

Multiply -1 and 144 to get -144.

$$576-144a=\Delta$$

Subtract 576 from both sides.

$$-144a=\Delta -576$$

Divide both sides by -144.

$$\frac{-144a}{-144}=\frac{\Delta -576}{-144}$$

Dividing by -144 undoes the multiplication by -144.

$$a=\frac{\Delta -576}{-144}$$

Divide \Delta -576 by -144.

$$a=-\frac{\Delta }{144}+4$$

Solve for Δ

$$\Delta =576-144a$$

Solution Steps

Calculate 24 to the power of 2 and get 576.

$$\Delta =576-a\left(-2\right)\left(-72\right)$$

Multiply -2 and -72 to get 144.

$$\Delta =576-a\times 144$$

Multiply -1 and 144 to get -144.

$$\Delta =576-144a$$