Answer:
A= -39
B= 1
C= 5
Step-by-step explanation:
To solve the equation (3x+1)(2-3x) - (5x-1)(3x+1) = 0, we can follow these steps:
Step 1: Expand the terms.
Step 2: Simplify the equation.
Step 3: Solve for x.
Step 1: Expand the terms.
(3x+1)(2-3x) - (5x-1)(3x+1)
Expanding both parts, we get:
6 - 9x²+ 2x - 3x - 5x + 1 - (15x² - 5x + 3x - 1)
Step 2: Simplify the equation.
Now, we simplify the equation by combining like terms:
6 - 9x² - x - 5x + 1 - 15x² + 8x - 1
Combining like terms, we get:
-24x² - 7x + 6 - 15x² + 8x - 1
Simplifying further:
-39x² + x + 5
Step 3: Solve for x.
We set the equation -39x² + x + 5 = 0 equal to 0, and then we solve for x. This can be done using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = -39, b = 1, and c = 5.
By substituting these values into the quadratic formula, we can solve for x.
