What is the answer to 12x^2-1=3x(4x+2) ?

The answer to 12x^2-1=3x(4x+2) is x=-1/6

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12x^2-1=3x(4x+2)

12 x^{2} - 1 = 3 x (4 x + 2)

x = - \frac{1}{6}

Solution steps

12 x^{2} - 1 = 3 x (4 x + 2)

Expand

3 x (4 x + 2) : 12 x^{2} + 6 x

12 x^{2} - 1 = 12 x^{2} + 6 x

Move

1

to the right side

12 x^{2} = 12 x^{2} + 6 x + 1

Subtract

12 x^{2} + 6 x

from both sides

12 x^{2} - (12 x^{2} + 6 x) = 12 x^{2} + 6 x + 1 - (12 x^{2} + 6 x)

Simplify

- 6 x = 1

Divide both sides by

- 6

x = - \frac{1}{6}

- \frac{3}{2} x = 22

11 n + 5 n - 1 = 65 n - 36

\frac{1}{2} (6 h - 4) = - 5 h + 1

\frac{x}{8} = - 3

- 8 = - 2 (z + 7)

What is the answer to 12x^2-1=3x(4x+2) ?
The answer to 12x^2-1=3x(4x+2) is x=-1/6
Solve for x: 12x^2-1=3x(4x+2)
The solution is x=-1/6