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