Video )) Solve for x. 2x(3x-4)=0 )wers as integers or as prop er or improper fractions in simplest form. )) <A. x = x= or X= square

To solve the equation $2x(3x-4)=0$, we need to find the values of x that make the equation true.<br /><br />Step 1: Set each factor equal to zero.<br />$2x = 0$ or $3x-4 = 0$<br /><br />Step 2: Solve each equation separately.<br />For $2x = 0$, divide both sides by 2 to isolate x.<br />$2x/2 = 0/2$<br />$x = 0$<br /><br />For $3x-4 = 0$, add 4 to both sides to isolate x.<br />$3x-4+4 = 0+4$<br />$3x = 4$<br /><br />Step 3: Divide both sides of the second equation by 3 to solve for x.<br />$3x/3 = 4/3$<br />$x = 4/3$<br /><br />Therefore, the solutions to the equation $2x(3x-4)=0$ are:<br />$x = 0$ or $x = 4/3$<br /><br />So, the answer is:<br />A. $x = 0$ or $x = 4/3$