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3x² - 6x + 5 = 3 + 2x + 3x²
3x² - 3x² - 6x - 2x = 3 - 5
- 8x = - 2
x = 2/8 = 1/4
b)2y+5y(2-y)=3-5y² = 2y + 10y - 5y² = 3 - 5y²
- 5y² + 5y² + 10y = 3
10y = 3
y = 3/10
c)2(x-2)²+5(7x-3)=2(x-1)(x+1)-17
2(x² - 4x + 4) + 35x - 15 = 2(x² - 1) - 17
2x² - 8x + 8 + 35x - 15 = 2x² - 2 - 17
2x² - 2x² - 8x + 35x = - 2 - 17 - 8 + 15
27x = - 12
x = - 12/27 = - 4/9
d)3z(z+3)+(z-2)(z+1)=(2z+5)²-3
3z² + 9z + z² - 2z + z - 2 = 4z² + 20z + 25 - 3
4z² + 8z - 2 = 4z² + 20z + 25 - 3
4z² - 4z² + 8z - 20z = 25 - 3 + 2
- 12z = 24
z = - 24/12 = - 2
e)4(x-2)-5(3x-9)=0
4x - 8 - 15x + 45 = 0
- 11x = - 45 + 8
- 11x = - 37
x = 37/11 = 3 4/11
f)2(3-x)+5=3-2(x-4)
6 - 2x + 5 = 3 - 2x + 8
- 2x + 2x = 11 - 11
0 = 0 równanie tożsamościowe
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