Respuesta :
you need to set both of them equal to zero to find what w is. so its 3w-5=0 you add 5 to get w by itself so then its 3w=5 and then divide by 3 so w= 5/3
1 + w = 0 so then you subtract one to get to the other side so w = -1
the final solution is {5/3, -1}
1 + w = 0 so then you subtract one to get to the other side so w = -1
the final solution is {5/3, -1}
Reorder the terms:
(-5 + 3w)(1 + -1w) = 0
Multiply (-5 + 3w) * (1 + -1w)
(-5(1 + -1w) + 3w * (1 + -1w)) = 0
((1 * -5 + -1w * -5) + 3w * (1 + -1w)) = 0
((-5 + 5w) + 3w * (1 + -1w)) = 0
(-5 + 5w + (1 * 3w + -1w * 3w)) = 0
(-5 + 5w + (3w + -3w2)) = 0
Combine like terms: 5w + 3w = 8w
(-5 + 8w + -3w2) = 0
Solving
-5 + 8w + -3w2 = 0
Solving for variable 'w'.
Factor a trinomial.
(-5 + 3w)(1 + -1w) = 0
(-5 + 3w)(1 + -1w) = 0
Multiply (-5 + 3w) * (1 + -1w)
(-5(1 + -1w) + 3w * (1 + -1w)) = 0
((1 * -5 + -1w * -5) + 3w * (1 + -1w)) = 0
((-5 + 5w) + 3w * (1 + -1w)) = 0
(-5 + 5w + (1 * 3w + -1w * 3w)) = 0
(-5 + 5w + (3w + -3w2)) = 0
Combine like terms: 5w + 3w = 8w
(-5 + 8w + -3w2) = 0
Solving
-5 + 8w + -3w2 = 0
Solving for variable 'w'.
Factor a trinomial.
(-5 + 3w)(1 + -1w) = 0