Answer
$t = +0.75$ or $t =-0.5$
Work Step by Step
$\frac{4t^2}{5} = \frac{t}{5} + \frac{3}{10}$
Step 1:
Clear the equation from fractions.
$10(\frac{4t^2}{5}) = 10(\frac{t}{5} + \frac{3}{10})$
Step 2: Use the distribute property.
$8t^2 = 2t + 3$
Step 3:
is not needed since no simplifying can be done on either side of the equation.
$8t^2 = 2t + 3$
Step 4:
The equation is quadratic.
$8t^2 = 2t + 3$
Step 5: Rewrite the equation in standard form.
$8t^2 -2t-3 = 0$
Step 6: Factor.
$(4t -3)(2t +1) = 0$
Step 7: Set each factor equal to 0.
$4t -3 = 0$ or $2t +1 = 0$
Solve each equation.
$4t = +3$ or $2t =-1$
$t = +0.75$ or $t =-0.5$
