Expanding and simplifying both sides of the equation:
9(1-x)² - (3x + 2)² = 21 - 14x9(1 - 2x + x²) - (9x² + 12x + 4) = 21 - 14x9 - 18x + 9x² - 9x² - 12x - 4 = 21 - 14x-30x + 9 = 21 - 14x-30x + 9 + 14x = 21-16x + 9 = 21-16x = 12x = -12/16x = -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 - 14x
9(1 - 2x + x²) - (9x² + 12x + 4) = 21 - 14x
9 - 18x + 9x² - 9x² - 12x - 4 = 21 - 14x
-30x + 9 = 21 - 14x
-30x + 9 + 14x = 21
-16x + 9 = 21
-16x = 12
x = -12/16
x = -3/4
Therefore, the solution to the equation is x = -3/4.