How would you solve this equation?

12x² - 7x = - 1

x² - 7/24x = - 1/12 + (- 7/24)²

x² - 7/24x = - 48/576 + 49/576

(x - 7/24)² = 1/576

x - 7/24 = ± 1/24

x = 1/24 + 7/24, x = 8/24, x = 1/3

x = - 1/24 + 7/24, x = 6/24, x = 1/4

Answer: x = 1/3, 1/4

We can't "solve" - there's no "=" sign in the problem;

but we can "factor": 12x² - 7x + 1 = (3x-1) (4x-1)

i would factor it. such as 12x^2-3x-4x+1

then i would combine the terms so as to get a common factor

it would look like this: 12x^2-3x + (-4x+1)

then i would take out a -3x in the first equation. that leaves me with -3x(-4x+1) + 1(-4x+1)

then you are left with-3x+1 and -4x+1.

then solve for x

x2 - 7/12x + 1/12 = 0

x2 - 7/12x + (-7/24)2 = -1/12 + (-7/24)

(x -7/24)^2 = -2/24 + -7/24

-9/24 = (x-7/24)^2 remove the square by square root.

x-7/24 = square root of (-9/24)

x = square root of (-9/24) +7/24

goodluck. goodnight.

quadratic equation factoring:

(3X-1)(4X-1)

X=1/3 or X=1/4

the problem is, it's not an equation

(4x - 1) * (3x - 1)