Answer
$x=-\frac{1}{5}$ or $x=2$
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 $(5x+1)(x-2)=0$ is quadratic.
Step 5: Not needed as the equation is already factored.
Step 6: Not needed as the equation is already factored.
Step 7: $(5x+1)=0$ or $(x-2)=0$
Step 8: $x=-\frac{1}{5}$ or $x=2$
Final Step: Checking by substituting the answers in the original equation:
$(5x+1)(x-2)=0$ and $(5x+1)(x-2)=0$
$(5(-\frac{1}{5})+1)(\frac{1}{5}-2)=0$ and $(5(2)+1)(2-2)=0$
$(-1+1)(\frac{1}{5}-2)=0$ and $(10+1)(0)=0$
$(0)(\frac{1}{5}-2)=0$ and $(11)(0)=0$
$0=0$ and $0=0$
Therefore, the answer checks.
