Answer:
[tex]x=0.5, \\\\x=-4[/tex]
Step-by-step explanation:
Factoring is the process by which one rewrites an equation or number out as the product of many numbers or expressions. In the given situation, one is asked to factor the following equation,
[tex]2x^2 +7x - 4=0[/tex]
In factored form,
[tex](2x-1)(x+4)=0[/tex]
Use the zero product property, this states that any number times zero equals zero. Therefore, set each factor equal to zero and solve for the parameter (x),
[tex]2x-1=0[/tex]
Inverse operations,
[tex]2x=1\\x=0.5[/tex]
[tex]x+4=0[/tex]
Inverse operations,
[tex]x=-4[/tex]
