Question

(8x-2)(3x+4)=(4x+3)(6x+1)

Answer 1

Hola!

Respuesta:

x = 11\4

Explicación paso a paso:

$(8x-2)(3x+4)=(4x+3)(6x+1) \\ 24 {x}^{2} + 32x - 6x - 8 = 24 {x}^{2} + 4x + 18x + 3 \\ 24 {x}^{2} + 26x - 8 = 24 {x}^{2} + 22x + 3 \\ 26x - 8 = 22x + 3 \\ 26x - 22x = 3 + 8 \\ 4x = 11 \\ x = \frac{11}{4}$

Comprobación:

$(8x-2)(3x+4)=(4x+3)(6x+1) \\ (8 (\frac{11}{4} ) - 2)(3( \frac{11}{4} ) + 4) = (4( \frac{11}{4} ) + 3)(6( \frac{11}{4} ) + 1) \\ (22 - 2)( \frac{33}{4} + 4) = (11 + 3)( \frac{33}{2} + 1) \\ 20( \frac{49}{4}) = 14( \frac{35}{2} ) \\ 49 \times 5 = 7 \times3 5 \\ 245 = 245$