Answer:
x = −27
/16 + 1/16 √4729 or x = −27
/16 + −1
/16 √4729
Step-by-step explanation:
(3x+15)(8x−13)=180
Step 1: Simplify both sides of the equation.
24x2+81x−195=180
Step 2: Subtract 180 from both sides.
24x2+81x−195−180=180−180
24x2+81x−375=0
For this equation: a=24, b=81, c=-375
24x2+81x+−375=0
Step 3: Use quadratic formula with a=24, b=81, c=-375.
x=
−b±√b^2−4ac
/2a
x=
−(81)±√(81)^2−4(24)(−375)
/2(24)
x=
−81±√42561
/48
therefore x = −27
/16 + 1/16 √4729 or x = −27
/16 + −1
/16 √4729
