Answer
$x=-3$ or $x=\frac{4}{3}$
Work Step by Step
Step 1: Not needed as there are no fractions.
Step 2: Not needed as there are no parentheses.
Step 3: Not needed as no simplification necessary.
Step 4: The equation $(x+3)(3x-4)=0$ is quadratic.
Step 5: Not needed as the equation is already factored.
Step 6: Not needed as the equation is already factored.
Step 7: $(x+3)=0$ or $(3x-4)=0$
Step 8: $x=-3$ or $x=\frac{4}{3}$
Final Step: Checking by substituting the answers in the original equation:
$(-3+3)(3(-3)-4)=0$ and $(\frac{4}{3}+3)(3(\frac{4}{3})-4)=0$
$(0)(-9-4)=0$ and $(\frac{4+9}{3})(4-4)=0$
$(0)(-13)=0$ and $(\frac{4+9}{3})(0)=0$
$0=0$ and $0=0$
Therefore, the answer checks.