Question

Find the value of x if 4x+12=5x×x

Answer 1

Answer:

$4x + 12 = 5x {}^{2} \\ 5x {}^{2} - 4x - 12 \\ 5x {}^{2} - 10x + 6x - 12 \\ 5x(x - 2)6(x - 2) \\ (x - 2)(5x + 6) \\ x = 2 \\ x = \frac{ - 6}{5}$

Answer 2

Step by step explanation:

4x+12=5x×x

$4x + 12 = 5{x}^{2}$

$- 4x - 12 + 5 {x}^{2} = 0$

$5 {x}^{2} - 4x - 12 = 0$

$5 {x}^{2} + 6x - 10x - 12 = 0$

$x(5x + 6) - 2(5x + 6) = 0$

$(5x + 6)(x - 2) = 0$

$5x + 6 = 0$

$x - 2 = 0$

$x = \frac{ - 6}{5}$

$x = 2$

$x1 = \frac{ - 6}{5} \\ x2 = 2$