First, distribute the terms on the left side of the equation:
(4x - 3) + (3x + 1)(3x + 1) = 94x - 3 + 9x^2 + 3x + 3x + 1 = 9
Combine like terms:4x - 3 + 9x^2 + 6x + 1 = 99x^2 + 10x - 2 = 9
Now, move all terms to one side:9x^2 + 10x - 2 - 9 = 09x^2 + 10x - 11 = 0
This is the quadratic equation in standard form.
First, distribute the terms on the left side of the equation:
(4x - 3) + (3x + 1)(3x + 1) = 9
4x - 3 + 9x^2 + 3x + 3x + 1 = 9
Combine like terms:
4x - 3 + 9x^2 + 6x + 1 = 9
9x^2 + 10x - 2 = 9
Now, move all terms to one side:
9x^2 + 10x - 2 - 9 = 0
9x^2 + 10x - 11 = 0
This is the quadratic equation in standard form.