It is a quadratic equation and the values of x are -1/2 or -2/3
Do you mean 12x2+14x+4 = 0
If so then x = -2/3 and x = -1/2
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That is a quadratic equation. You can solve it easily if you factor it to 2(2x - 1)(3x - 2) and find what makes each factor 0. The solutions are 1/2 and 2/3; you can see the steps taken to get here using the link under "related links".
x2 + 14x + 45 = 0 => x2 + 9x + 5x + 45 = 0 => x(x + 9) + 5(x + 9) = 0 (x + 9)(x + 5) = 0 so that x = -5 or x = -9
x^2 + 14x + 40 factorises as (x + 10)(x + 4) so the roots are x = -10, -4.
x2 - 14x = -49 ∴ x2 - 14x + 49 = 0 ∴ (x - 7)2 = 0 ∴ x = 7
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