Final answer:
To find the value of x, expand and simplify the given expression (7x + 12)(8x + 3). Set the expression equal to zero and solve for x using factoring or the quadratic formula.
Step-by-step explanation:
To find the value of x, we need to expand and simplify the given expression.
(7x + 12)(8x + 3)
= 56x² + 21x + 96x + 36
= 56x² + 117x + 36
Since there is no further simplification possible, we can set this expression equal to zero and solve for x using factoring or the quadratic formula.