The solutions to the given equations are as follows:
1) 30х - 10(2+х) = х + 430х - 20 - 10х = х + 420х - 20 = х + 419х = 24x = 24/19
2) 6x/1 + 2x = 56x + 2x = 58x = 5x = 5/8
3) 18 - 8(x-2) = 10 - 4x18 -8x + 16 = 10 - 4x34 - 8x = 10 - 4x24 = 4xx = 6
4) (4x + 5)(2 - 4x)(x + 7) = 0Setting each factor to zero gives the solutions:4x + 5 = 0 => 4x = -5 => x = -5/42 - 4x = 0 => -4x = -2 => x = 1/2x + 7 = 0 => x = -7
Therefore, the solutions to the equation (4x + 5)(2 - 4x)(x + 7) = 0 are x = -5/4, 1/2, and -7.
The solutions to the given equations are as follows:
1) 30х - 10(2+х) = х + 4
30х - 20 - 10х = х + 4
20х - 20 = х + 4
19х = 24
x = 24/19
2) 6x/1 + 2x = 5
6x + 2x = 5
8x = 5
x = 5/8
3) 18 - 8(x-2) = 10 - 4x
18 -8x + 16 = 10 - 4x
34 - 8x = 10 - 4x
24 = 4x
x = 6
4) (4x + 5)(2 - 4x)(x + 7) = 0
Setting each factor to zero gives the solutions:
4x + 5 = 0 => 4x = -5 => x = -5/4
2 - 4x = 0 => -4x = -2 => x = 1/2
x + 7 = 0 => x = -7
Therefore, the solutions to the equation (4x + 5)(2 - 4x)(x + 7) = 0 are x = -5/4, 1/2, and -7.