Question

What are the solutions ?

`7x ^(2) + 10x - 3 = x ^(2) + 3x`
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Answer 1

`x = ( - 3)/(2) \: or \: (1)/(3)`

Explanation:

`7 {x}^(2) + 10x - 3 = {x}^(2) + 3x`

`= > 7 {x}^(2) - {x}^(2) + 10x - 3x -3 = 0`

`= > 6 {x}^(2) + 7x - 3 = 0`

`= > 6 {x}^(2) + 9x - 2x - 3 = 0`

`= > 3x(2x + 3) - 1(2x + 3) = 0`

`= > (2x + 3)(3x - 1) = 0`

Here x will have 2 values.

1)
`2x + 3 = 0`

`= > 2x = - 3`

`= > x = ( - 3)/(2)`

2)
`3x - 1 = 0`

`= > 3x = 1`

`= > x = (1)/(3)`