Answer:
x = -4/5 and x = 1
Explanation:
5x^2 - x - 4 = 0
Factor out x from the expression.
x (5x +4) - 5x -4 = 0
Factor out the negative sign from the expression.
x (5x + 4) - (5x+4) = 0
Factor out 5x + 4 from the expression.
(5x +4) x (x-1) = 0
When the product of factors equal 0, that means atleast one factor is 0.
5x+4= 0
x-1 = 0
Solve the equation for x.
5x + 4 = 0
Minus 4 from both sides.
5x = -4
Divide by 5.
x = -4/5
Solve the equation for x.
x - 1 = 0
Add one to both sides.
x = 1
Therefore, x = -4/5 and x = 1.