Let's first expand the left side of the equation:
(2x + 3)(3x + 1) - 10= 2x 3x + 2x 1 + 3 3x + 3 1 - 10= 6x^2 + 2x + 9x + 3 - 10= 6x^2 + 11x - 7
Now, let's compare this to the right side of the equation:
11x + 20
Since the two sides are equal, we can set them equal to each other:
6x^2 + 11x - 7 = 11x + 20
Now, let's simplify the equation further:
6x^2 + 11x - 7 - 11x - 20 = 06x^2 - 27 = 0
Now, we can solve for x by factoring or using the quadratic formula:
6x^2 - 27 = 06x^2 = 27x^2 = 27/6x^2 = 4.5x = ±√4.5x = ±2.121
Therefore, the solutions are x = 2.121 or x = -2.121.
Let's first expand the left side of the equation:
(2x + 3)(3x + 1) - 10
= 2x 3x + 2x 1 + 3 3x + 3 1 - 10
= 6x^2 + 2x + 9x + 3 - 10
= 6x^2 + 11x - 7
Now, let's compare this to the right side of the equation:
11x + 20
Since the two sides are equal, we can set them equal to each other:
6x^2 + 11x - 7 = 11x + 20
Now, let's simplify the equation further:
6x^2 + 11x - 7 - 11x - 20 = 0
6x^2 - 27 = 0
Now, we can solve for x by factoring or using the quadratic formula:
6x^2 - 27 = 0
6x^2 = 27
x^2 = 27/6
x^2 = 4.5
x = ±√4.5
x = ±2.121
Therefore, the solutions are x = 2.121 or x = -2.121.