What is the answer to 12(x-a)(x-b)=12x^2-7x-12 ?

The answer to 12(x-a)(x-b)=12x^2-7x-12 is x=(-12-12ab)/(-12a-12b+7);\quad a\ne-(12b-7)/(12)

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12(x-a)(x-b)=12x^2-7x-12

12 (x - a) (x - b) = 12 x^{2} - 7 x - 12

x = \frac{- 12 - 12 ab}{- 12 a - 12 b + 7}; a \neq = - \frac{12 b - 7}{12}

Solution steps

12 (x - a) (x - b) = 12 x^{2} - 7 x - 12

Expand

(x - a) (x - b) : x^{2} - b x - a x + ab

12 (x^{2} - b x - a x + ab) = 12 x^{2} - 7 x - 12

Expand

12 (x^{2} - b x - a x + ab) : 12 x^{2} - 12 b x - 12 a x + 12 ab

12 x^{2} - 12 b x - 12 a x + 12 ab = 12 x^{2} - 7 x - 12

Move

12 ab

to the right side

12 x^{2} - 12 b x - 12 a x = 12 x^{2} - 7 x - 12 - 12 ab

Subtract

12 x^{2} - 7 x

from both sides

12 x^{2} - 12 b x - 12 a x - (12 x^{2} - 7 x) = 12 x^{2} - 7 x - 12 - 12 ab - (12 x^{2} - 7 x)

Simplify

- 12 a x - 12 b x + 7 x = - 12 - 12 ab

Factor

- 12 a x - 12 b x + 7 x : x (- 12 a - 12 b + 7)

x (- 12 a - 12 b + 7) = - 12 - 12 ab

Divide both sides by

- 12 a - 12 b + 7; a \neq = - \frac{12 b - 7}{12}

x = \frac{- 12 - 12 ab}{- 12 a - 12 b + 7}; a \neq = - \frac{12 b - 7}{12}

7 x - 2 [3 - 4 (x + 7) + 5 x] - 8 = 17 (x - 1)

\frac{11}{6} z = 16500000

x, 3 x + y = 22

k, (x + k)^{2} = x^{2} - 2 x + k^{2}

G (p) = 138 p - 756 - 2 p^{2}

What is the answer to 12(x-a)(x-b)=12x^2-7x-12 ?
The answer to 12(x-a)(x-b)=12x^2-7x-12 is x=(-12-12ab)/(-12a-12b+7);\quad a\ne-(12b-7)/(12)