# How do you find the roots of #12x=9x^2+4# by factoring?

Factorise the equation.

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Sure, to find the roots of (12x = 9x^2 + 4) by factoring, follow these steps:

- Rearrange the equation to set it to zero: (9x^2 - 12x + 4 = 0)
- Factor the quadratic equation: ((3x - 2)(3x - 2) = 0)
- Set each factor equal to zero and solve for (x):
- (3x - 2 = 0) (3x = 2) (x = \frac{2}{3})

So the only root for the equation (12x = 9x^2 + 4) is (x = \frac{2}{3}).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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