What are the solutions of the equation 3x^2+8x=12

Step-by-step explanation:

3x² + 8x = 12

3x² + 8x - 12 = 0

a=3, b=8, and c=-12. Solving with quadratic formula:

x = [ - b ± √ (b² - 4ac) ] / 2a

x = [ - 8 ± √ (8² - 4 (3) (-12)) ] / 2 (3)

x = (-8 ± √208) / 6

x = (-8 ± 4√13) / 6

x = - 4/3 ± 2/3 √13

x = - 4/3 + 2/3 square root of 13 or x = - 4/3 + - 2/3 square root of 13!