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12x2 + 7x + 1 = 12x2 + 3x + 4x + 1 = 3x*(4x + 1) + 1*(4x + 1) = (4x + 1)*(3x + 1)
You move one of the like terms to the other side using algebraic operations. For instance... 3x + 5y = 7x + 3 ... and you want to solve for x ... ... first, subtract 3x from both sides ... 3x - 3x + 5y = 7x - 3x + 3 5y = 4x + 3 ... do I need to explain further???
7x-3=3x+8 7x-3x=8+3 4x=11 x=11/4=2.75
Oh, dude, that's like basic math, but sure, I'll help you out. So, 7x + 4x equals 11x. It's like adding up all the x's in the neighborhood and getting 11 of them. Math can be fun, right?