Answer
$x = -1$ or $x = 0.6$
Work Step by Step
$x(5x + 2) = 3$
Step 1: is not need because there is no fractions.
Step 2: Use the distribute property.
$5x^2 +2x = 3$
Step 3:
is not needed since no simplifying can be done on either side of the equation.
Step 4: The equation is quadratic.
$5x^2 +2x = 3$
Step 5: Rewrite the equation in standart form.
$5x^2 + 2x-3 = 0$
Step 6: Factor.
$(x +1)(5x -3) = 0$
Step 7: Set each factor equal to 0.
$x +1 = 0$ or $5x -3 = 0$
Solve each equation.
$x = -1$ or $5x = 3$
$x = -1$ or $x = 0.6$
