Solve -5.6*10^13=2.46*10^0-7.72*10/t

$$- 5.6 \times 10 ^ { 13 } = \frac { 2.46 \times 10 ^ { 0 } - 7.72 \times 10 } { t }$$

Solve for t

$$t=\frac{3737}{2800000000000000}\approx 1.334642857 \cdot 10^{-12}$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by t.

$$-5.6\times 10^{13}t=2.46\times 10^{0}-7.72\times 10$$

Calculate 10 to the power of 13 and get 10000000000000.

$$-5.6\times 10000000000000t=2.46\times 10^{0}-7.72\times 10$$

Multiply -5.6 and 10000000000000 to get -56000000000000.

$$-56000000000000t=2.46\times 10^{0}-7.72\times 10$$

Calculate 10 to the power of 0 and get 1.

$$-56000000000000t=2.46\times 1-7.72\times 10$$

Multiply 2.46 and 1 to get 2.46.

$$-56000000000000t=2.46-7.72\times 10$$

Multiply 7.72 and 10 to get 77.2.

$$-56000000000000t=2.46-77.2$$

Subtract 77.2 from 2.46 to get -74.74.

$$-56000000000000t=-74.74$$

Divide both sides by -56000000000000.

$$t=\frac{-74.74}{-56000000000000}$$

Expand \frac{-74.74}{-56000000000000} by multiplying both numerator and the denominator by 100.

$$t=\frac{-7474}{-5600000000000000}$$

Reduce the fraction \frac{-7474}{-5600000000000000} to lowest terms by extracting and canceling out -2.

$$t=\frac{3737}{2800000000000000}$$