Answer:
x = 1 or x = -7/3
Explanation:
Solve for x over the real numbers:
3 x^2 = 7 - 4 x
Subtract 7 - 4 x from both sides:
3 x^2 + 4 x - 7 = 0
The left hand side factors into a product with two terms:
(x - 1) (3 x + 7) = 0
Split into two equations:
x - 1 = 0 or 3 x + 7 = 0
Add 1 to both sides:
x = 1 or 3 x + 7 = 0
Subtract 7 from both sides:
x = 1 or 3 x = -7
Divide both sides by 3:
Answer: x = 1 or x = -7/3