Xx^(2)-8x+14=2x-7

Question

X
`x^(2)-8x+14=2x-7`

Answer 1

`x = 3\ or\ x = 7`

Explanation:

Given

`x^(2)-8x+14=2x-7`

Required

Solve

Equate to 0

`x^(2)-8x-2x+14+7=0`

`x^(2)-10x+21=0`

Expand

`x^(2)-7x-3x+21=0`

Factorize

`x(x-7)-3(x-7)=0`

Factor out x - 7

`(x-3)(x-7)=0`

Split

`x - 3 = 0\ \ x - 7 = 0`

Solve

`x = 3\ or\ x = 7`