Solve 0=a*(-12/125t+6/25)

$$0 = a \cdot ( - \frac { 12 } { 125 } t + \frac { 6 } { 25 } )$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&t=\frac{5}{2}\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply a by -\frac{12}{125}t+\frac{6}{25}.

$$0=-\frac{12}{125}at+\frac{6}{25}a$$

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

$$-\frac{12}{125}at+\frac{6}{25}a=0$$

Combine all terms containing a.

$$\left(-\frac{12}{125}t+\frac{6}{25}\right)a=0$$

The equation is in standard form.

$$\left(-\frac{12t}{125}+\frac{6}{25}\right)a=0$$

Divide 0 by -\frac{12}{125}t+\frac{6}{25}.

$$a=0$$

Solve for t (complex solution)

$$\left\{\begin{matrix}\\t=\frac{5}{2}\text{, }&\text{unconditionally}\\t\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply a by -\frac{12}{125}t+\frac{6}{25}.

$$0=-\frac{12}{125}at+\frac{6}{25}a$$

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

$$-\frac{12}{125}at+\frac{6}{25}a=0$$

Subtract \frac{6}{25}a from both sides. Anything subtracted from zero gives its negation.

$$-\frac{12}{125}at=-\frac{6}{25}a$$

The equation is in standard form.

$$\left(-\frac{12a}{125}\right)t=-\frac{6a}{25}$$

Divide both sides by -\frac{12}{125}a.

$$\frac{\left(-\frac{12a}{125}\right)t}{-\frac{12a}{125}}=-\frac{\frac{6a}{25}}{-\frac{12a}{125}}$$

Dividing by -\frac{12}{125}a undoes the multiplication by -\frac{12}{125}a.

$$t=-\frac{\frac{6a}{25}}{-\frac{12a}{125}}$$

Divide -\frac{6a}{25} by -\frac{12}{125}a.

$$t=\frac{5}{2}$$

Solve for a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&t=\frac{5}{2}\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply a by -\frac{12}{125}t+\frac{6}{25}.

$$0=-\frac{12}{125}at+\frac{6}{25}a$$

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

$$-\frac{12}{125}at+\frac{6}{25}a=0$$

Combine all terms containing a.

$$\left(-\frac{12}{125}t+\frac{6}{25}\right)a=0$$

The equation is in standard form.

$$\left(-\frac{12t}{125}+\frac{6}{25}\right)a=0$$

Divide 0 by -\frac{12}{125}t+\frac{6}{25}.

$$a=0$$

Solve for t

$$\left\{\begin{matrix}\\t=\frac{5}{2}\text{, }&\text{unconditionally}\\t\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply a by -\frac{12}{125}t+\frac{6}{25}.

$$0=-\frac{12}{125}at+\frac{6}{25}a$$

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

$$-\frac{12}{125}at+\frac{6}{25}a=0$$

Subtract \frac{6}{25}a from both sides. Anything subtracted from zero gives its negation.

$$-\frac{12}{125}at=-\frac{6}{25}a$$

The equation is in standard form.

$$\left(-\frac{12a}{125}\right)t=-\frac{6a}{25}$$

Divide both sides by -\frac{12}{125}a.

$$\frac{\left(-\frac{12a}{125}\right)t}{-\frac{12a}{125}}=-\frac{\frac{6a}{25}}{-\frac{12a}{125}}$$

Dividing by -\frac{12}{125}a undoes the multiplication by -\frac{12}{125}a.

$$t=-\frac{\frac{6a}{25}}{-\frac{12a}{125}}$$

Divide -\frac{6a}{25} by -\frac{12}{125}a.

$$t=\frac{5}{2}$$