Answer:
Solution ~ x = -4/5, and x = 1
Step-by-step explanation:
1. Let us apply simple algebra to first factor this quadratic equation:
5x² - x - 4 = 0,
( 5x^2 + 4x ) + ( -5x - 4 ) = 0,
x ( 5x + 4 ) - ( 5x + 4 ) = 0,
( 5x + 4 )( x - 1 ) = 0
2. Now that this is factored, we can apply the zero factor principle to derive the two solutions to this equation:
5x + 4 = 0, and x - 1 = 0,
5x = - 4, and x = 1,
Solution: x = -4/5, and x = 1
