Expanding and simplifying both sides of the equation:
9(1-x)² - (3x + 2)² = 21 - 149(1 - 2x + x²) - (9x² + 12x + 4) = 21 - 149 - 18x + 9x² - 9x² - 12x - 4 = 21 - 14-30x + 9 = 21 - 14-30x + 9 + 14x = 2-16x + 9 = 2-16x = 1x = -12/1x = -3/4
Therefore, the solution to the equation is x = -3/4.
Expanding and simplifying both sides of the equation:
9(1-x)² - (3x + 2)² = 21 - 14
9(1 - 2x + x²) - (9x² + 12x + 4) = 21 - 14
9 - 18x + 9x² - 9x² - 12x - 4 = 21 - 14
-30x + 9 = 21 - 14
-30x + 9 + 14x = 2
-16x + 9 = 2
-16x = 1
x = -12/1
x = -3/4
Therefore, the solution to the equation is x = -3/4.