Solve this problem:

(3x+15)(8x-13)=180

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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

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step-by-step explanation: