Question

(x-5)/10 + (1-2x)/5 = (3-x)/4

4x(x+6) -x^2 = 5x^2

Answer 1

Explicação passo-a-passo:

a)

$\frac{x - 5}{10} + \frac{(1 - 2x)}{5} = \frac{(3 - x)}{4} \\ \\ 2(x - 5) + 4(1 - 2x) = 5(3 - x) \\ \\ 2x - 10 + 4 - 8x = 15 - 5x\\ \\ - 6x - 6 = 15 - 5x \\ \\ - 6x - 6 = 5 - 5x \\ \\ - 6x + 5x = 15 + 6 \\ \\ - x = 21 \\ \\ x = - 21$

b)

$4x(x + 6) - x^{2} = 5x^{2} \\ \\ 4x ^{2} + 24x - x^{2} = 5x^{2} \\ \\ 3x^{2} + 24x = 5x^{2} \\ \\ 3x ^{2} + 24x - 5x^{2} = 0 \\ \\ - 2x ^{2} + 24x = 0 \\ \\ - 2x(x - 12) =0 \\ \\ x(x - 12) = 0 \\ \\ x.(x - 12) = 0 \\ \\ x = 0 \\ e \\ x = 12$