Question

`\: \: \: \: \: \rm \: 25x {}^(2) = - 25 + 50x`


Find possible values of x

Answer 1

`\boxed{\boxed{\sf x=1}}`

Explanation:

`\sf 25x^2=-25+50x`

Simplify both sides of the equation:-

`\sf 25x^2-50x=-25`

Subtract 50x-25 from both sides:-

`\sf 25x^2-(50x-25)=50x-25-(50x-25)`

`\sf 25x^2-50x+25=0`

Factor left side of equation:-

`\sf 25(x-1)(x-1)=0`

Set factors equal to 0:-

`\sf x-1=0\: or\: x-1=0`

`\sf x=1`

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