Solve the equation Solve the equation 3a2 7a 6SolutionWe h

Solve the equation

Solution

We have 3a² = 7a + 6 or, 3a² -7a - 6 = 0 or, 3a² - 9a + 2a - 6 = 0 or, 3a( a - 3) + 2 ( a - 3) = 0 or, ( a -3) ( 3a + 2) = 0. This implies that either a - 3 = 0 so that a = 3, or, 3a + 2 = 0 so that a = -2/3. We can verify the result by substituting these values of a in the original equation. Thus the solutions are a = 3 or, a = -2/3.