1) 10x²+5x=0
5х(2х + 1) = 0
х = 0 или х = -0,5
2)25-100x²=0
х² = 1/4
х = 1/2 или х = -1/2
3)2x²-14=02(х² - 7) = 0
х² - 7 = 0
х = √7 или х = -√7
4)2x²+3x-5=0
D = 9 + 40 = 49
x₁ = -3 +7/4 = 1
x₂ = -3 - 7/4 = -2,5
5)3x²+2x-5=0
D = 4 + 60 = 64
x₁ = -2 + 8/6 = 1
x₂ = -2 - 8/6 = -5/3
6)5x²-8x+3=0
D = 64 - 60 = 4
x₁ = 8 + 2/10 = 1
x₂ = 8 - 2/10 =0,6
7)6x-5(2x+8)>14+2x
6х - 10х - 40 > 14 + 2х
-4х - 2х > 14 + 40
-6х > 54
х >-9
8)3(3x-1)>2(5x-7)
9х - 3 > 10х -14
-х > -11
х > 11
9)2(1-x)>5x-4(2x+1)
2 - 2х > 5х -8х -4
х > -6
10)2(1-x)>5x-(3x+2)
2 -2х > 5х - 3х - 2
-4х > -4
х < 1
удачи