Question

PLEASE SOLVE AND CHECK

Answer 1

Answer:

x = 2 / 3  or   x = 2

Step-by-step explanation:

3x² = -4 + 8x

3x² - 8x + 4 = 0

3x² - 6x - 2x + 4 = 0

3x ( x - 2 ) -2 ( x - 2 ) = 0

( 3x - 2 )  ( x - 2 ) = 0

Therefore,

3x - 2 = 0             or                x - 2 = 0

3x = 2                                      x = 2

x = 2/3

Hope this helps you :-)

Answer 2

Solution:

$3 {x}^{2} = - 4 + 8x$

Let us transpose -4 and 8x to the Left Hand Side. So we are left with 0 on the Right Hand Side.

$= > {3x}^{2} + 4 - 8x = 0$

Now, arrange the expression in standard form.

$= > {3x}^{2} - 8x + 4 = 0$

Now, split the mid term. Here, 3 × 4 = 12. So, we can split -8x into -2x and -6x.

$= > ({3x}^{2} - 6x )- (2x + 4) = 0$

Now, take 3x common from the first expression and 2 from the second.

$= > 3x(x - 2) - 2(x - 2) = 0 \\ = > (3x - 2)(x - 2) = 0$

When, two terms are equal to 0, then each term is equal to zero.

$= > 3x - 2 = 0 \: \: and \: x - 2 = 0 \\ = > 3x = 2 \: \: and \: x = 2 \\ = > x = \frac{2}{3} \: \: and \: \: 2$

Answer:

$x = \frac{2}{3} \: \: and \: \: 2$

Hope you could understand.

If you have any query, feel free to ask.