5x2+26x=24

Interpret as 5x^2 + 26x = 24.

• Move all terms to one side: 5x^2 + 26x - 24 = 0.
• Factor: (5x - 4)(x + 6) = 0.
• Solve: x = 4/5 or x = -6.

Alternatively, using the quadratic formula gives the same roots: x = [-26 ± sqrt(26^2 - 4·5·(-24))]/(2·5) = [-26 ± 34]/10 → x = 4/5, x = -6.