Question

Resuelve las ecuaciones de primer grado:

Answer 1

Respuesta:

$x = - 7$

Explicación paso a paso:

$4(x - 5)(x + 2) = 11 - 3(x(x + 2) + 3) + 7 {x}^{2} \\ 4( {x}^{2} - 3x - 10) = 11 - 3( {x}^{2} + 2x + 3) + 7 {x}^{2} \\ 4 {x}^{2} - 12x - 40 = 11 - 3 {x}^{2} - 6x - 9 + 7 {x}^{2} \\ 4 {x}^{2} - 12x - 40 = 4 {x}^{2} - 6x + 2 \\ - 40 - 2 = - 6x + 12x \\ - 42 = 6x \\ x = - 42 \div 6 \\ x = - 7$

Espero que te sirva ;)

Answer 2

4 ( x - 5 ) ( x + 2 ) = 11 - 3 [ x ( x + 2 ) + 3 ] + 7x²

4x - 20 ( x + 2 ) = 11 - 3 [ x² + 2x + 3 ] + 7x²

4x² + 8x - 20x - 40 = 11 - 3x² - 6x - 9 + 7x²

4x² - 12x - 40 = 2 + 4x² - 6x

4x² - 4x² - 12x + 6x = 2 + 40

- 6x = 42

x = - 42 / 6

x = - 7