Solve -3634=1111Deltat-49Deltat^2

$$- 3634 = 1111 \Delta t - 49 \Delta t ^ { 2 }$$

Solve for Δ

$$\Delta =-\frac{3634}{t\left(1111-49t\right)}$$

$$t\neq \frac{1111}{49}\text{ and }t\neq 0$$

Steps for Solving Linear Equation

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

$$1111\Delta t-49\Delta t^{2}=-3634$$

Combine all terms containing \Delta .

$$\left(1111t-49t^{2}\right)\Delta =-3634$$

Divide both sides by 1111t-49t^{2}.

$$\frac{\left(1111t-49t^{2}\right)\Delta }{1111t-49t^{2}}=-\frac{3634}{1111t-49t^{2}}$$

Dividing by 1111t-49t^{2} undoes the multiplication by 1111t-49t^{2}.

$$\Delta =-\frac{3634}{1111t-49t^{2}}$$

Divide -3634 by 1111t-49t^{2}.

$$\Delta =-\frac{3634}{t\left(1111-49t\right)}$$

Solve for t (complex solution)

$$t=\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}$$

$$t=-\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}\text{, }\Delta \neq 0$$

Solve for t

$$t=\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}$$

$$t=-\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}\text{, }\Delta >0\text{ or }\Delta \leq -\frac{712264}{1234321}$$