Solve 32^2=-3-9/k+5

$$32 ^ { 2 } = \frac { - 3 - 9 } { k + 5 }$$

Solve for k

$$k = -\frac{1283}{256} = -5\frac{3}{256} = -5.01171875$$

Steps for Solving Linear Equation

Variable k cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by k+5.

$$\left(k+5\right)\times 32^{2}=-3-9$$

Calculate 32 to the power of 2 and get 1024.

$$\left(k+5\right)\times 1024=-3-9$$

Use the distributive property to multiply k+5 by 1024.

$$1024k+5120=-3-9$$

Subtract 9 from -3 to get -12.

$$1024k+5120=-12$$

Subtract 5120 from both sides.

$$1024k=-12-5120$$

Subtract 5120 from -12 to get -5132.

$$1024k=-5132$$

Divide both sides by 1024.

$$k=\frac{-5132}{1024}$$

Reduce the fraction \frac{-5132}{1024} to lowest terms by extracting and canceling out 4.

$$k=-\frac{1283}{256}$$