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This is quadratic, not linear, equation.

5x² - 3x + 15x - 9 = x² - 3x + 4x - 12

5x² + 12x - 9 = x² + x -12

Transform to ax² + bx + c = 0

5x² - x² + 12x - x - 9 + 12 = 0

4x² + 11x + 3 = 0

Solve using quadratic formula (because this equation can not be factored with rational numbers).

4x² + 11x + 3 = 0

a = 4; b = 11; c = 3

The roots are irrational:

and

(Or you may refer to may handwritten solution. Please see attached.)

__x+3__=__x-3__

x+ 4 5x - 3__(x+3) (5x-3) = (x+4) (x-3)__

5x² - 3x + 15x - 9 = x² - 3x + 4x - 12

5x² + 12x - 9 = x² + x -12

Transform to ax² + bx + c = 0

5x² - x² + 12x - x - 9 + 12 = 0

4x² + 11x + 3 = 0

Solve using quadratic formula (because this equation can not be factored with rational numbers).

4x² + 11x + 3 = 0

a = 4; b = 11; c = 3

The roots are irrational:

and

(Or you may refer to may handwritten solution. Please see attached.)