Solve the equation.
-$15 x ^ { 2 } = 8 x$
A) $- \frac { 15 } { 8 } , 0$
B) $- \frac { 8 } { 15 } , 0$
C) $\frac { 15 } { 8 } , 0$
D) $\frac { 8 } { 15 } , 0$

Question

Quizplus · Accepted Answer

To solve the equation $15x^2 = 8x$, first bring all terms to one side to get $15x^2 - 8x = 0$. Factoring out $x$, we get $x(15x - 8) = 0$. Setting each factor equal to zero gives $x = 0$ and $15x - 8 = 0$. Solving $15x - 8 = 0$ for $x$ gives $x = \frac{8}{15}$. Therefore, the solutions are $x = 0$ and $x = \frac{8}{15}$, which corresponds to choice D.

Solve the Equation 15x2=8x15 x ^ { 2 } = 8 x15x2=8x

Solve the Equation $15 x ^ { 2 } = 8 x$