a) To find the solutions for (8x-16)(4x-12)=0, we need to set each factor to 0 and solve for x.
First factor:8x - 16 = 08x = 16x = 2
Second factor:4x - 12 = 04x = 12x = 3
Therefore, the solutions for (8x-16)(4x-12)=0 are x = 2 and x = 3.
b) To find the solutions for (2x-6)(-3x+5)=0, we follow the same process as above.
First factor:2x - 6 = 02x = 6x = 3
Second factor:-3x + 5 = 0-3x = -5x = 5/3
Therefore, the solutions for (2x-6)(-3x+5)=0 are x = 3 and x = 5/3.
a) To find the solutions for (8x-16)(4x-12)=0, we need to set each factor to 0 and solve for x.
First factor:
8x - 16 = 0
8x = 16
x = 2
Second factor:
4x - 12 = 0
4x = 12
x = 3
Therefore, the solutions for (8x-16)(4x-12)=0 are x = 2 and x = 3.
b) To find the solutions for (2x-6)(-3x+5)=0, we follow the same process as above.
First factor:
2x - 6 = 0
2x = 6
x = 3
Second factor:
-3x + 5 = 0
-3x = -5
x = 5/3
Therefore, the solutions for (2x-6)(-3x+5)=0 are x = 3 and x = 5/3.