-2x2 = -(5x + 4)
Distribute -1 to the terms in parenthesees.
-2x2 = -5x - 4
Add 2x2 to both sides of the equation.
0 = 2x2 - 5x - 4
2x2 - 5x - 4 = 0
2x2 + -5x + -4 = 0
This is a quadratic equation. We can use the quadratic formula to solve for x .
The quadratic formula says that....
If ax2 + bx + c = 0 then x=−b±√b2−4ac2a
So...
Since 2x2 + -5x + -4 = 0 then x=−(−5)±√(−5)2−4(2)(−4)2(2)
x=−(−5)±√(−5)2−4(2)(−4)2(2) x=5±√25+324 x=5±√574 x=5+√574orx=5−√574