4x^2-12x=7 subtract 7 from both sides
4x^2 - 12x - 7 = 0 factor
(2x + 1) (2x - 7) = 0 set each factor to 0
2x + 1 = 0 2x - 7 = 0
subtract 1 from both sides add 7 to both sides
2x = - 1 2x = 7
divide both sides by 2
x = -1/ 2 x = 7/2
And these are the two solutions
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