Question

3x(3x-1)-(3x+5)(3x-5)=3x+25

Answer 1

x=0

Explanation:

`3x(3x-1)-(3x+5)(3x-5)=3x+25\\\\\text{Use the algebraic identity,}(a+b)(a-b)=a^2-b^2\\9x^2-3x-(9x^2-25)=3x+25\\9x^2-3x-9x^2+25=3x+25\\-3x=3x\\-6x=0\\x=0`

Answer 2

`\sf x=0`

Explanation:

`\sf 3x\left(3x-1\right)-\left(3x+5\right)\left(3x-5\right)=3x+25`

`\sf -3x+25=3x+25`

`\sf -3x+25-25=3x+25-25`

`\sf -3x=3x`

`\sf -3x-3x=3x-3x`

`\sf -6x=0`

`\sf (-6x)/(-6)=(0)/(-6)`

`\sf x=0`