Q:

Solve the equation: 2x^2 + 3x = 2

Accepted Solution

A:
Answer:x = -2 or x = 1/2Step-by-step explanation:First get the eq in standard form, which means:x² should not have that 2 in front of itmove the other 2 to the leftso first let's divide by 2:x² + 3/2 x = 1now move the 1 to the leftx² + 3/2 x - 1 = 0now look for two numbers that, when multiplied, give -1, and when added, give 3/2. This is a bit of trial-and-error if you want to solve in this way.The numbers are 2 and -1/2, since 2*-1/2 = -1, and 2 - 1/2 = 3/2The factorization thus is:x² + 3/2 x - 1 = (x+2)(x-1/2) = 0Either factor (x+2) or (x-1/2) can be zero to solve the solution, hence x = -2 or x = 1/2