Final answer:
To solve the equation 7x(x+1.8)=0, we apply the Zero Product Property, setting each factor equal to zero which results in a solution of x = 0 and x = -1.8.
Step-by-step explanation:
The provided question is a quadratic equation in the form 7x(x+1.8)=0. To solve for x, we can apply the Zero Product Property, which states that if the product of two numbers is zero, then at least one of the factors must be zero. We can set each factor equal to zero and solve:
- 7x = 0 → x = 0
- x + 1.8 = 0 → x = -1.8
Thus, the solution to this equation are x = 0 and x = -1.8. These are the two possible values of x that satisfy the equation.
To verify our solution, we substitute these values back into the original equation to ensure they bring the equation to zero, fulfilling the condition for a correct solution.