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How do you solve $27 w^{2} = 3 w$ $27w ^ { 2} = 3w$ ?

2 Answers

Apr 11, 2018

$w = 0$ $w=0$ or $w = \frac{1}{9}$ $w=1/9$

Explanation:

If $27 w^{2} = 3 w$ $27w^2=3w$

$\to 27 w^{2} - 3 w = 0$ $rarr 27w^2-3w=0$

$\to 3 \cdot w \cdot (9 w - 1) = 0$ $rarr 3 * w * (9w-1)=0$

$\to w = 0 or 9 w - 1 = 0$ $rarr w=0" or "9w-1=0$
$xxxxxxxxxxxx \to w = \frac{1}{9}$ $color(white)("xxxxxxxxxxxx")rarrw=1/9$

Apr 11, 2018

w=0 or w= 1/9

Explanation:

$27 w^{2} - 3 w = 0$ $27w^2 - 3w = 0$
$3 w (9 w - 1) = 0$ $3w(9w - 1) = 0$
$3 w = 0 or 9 w - 1 = 0$ $3w = 0 or 9w-1 = 0$

$w = 0$ $w=0$
or
$9 w = 1$ $9w=1$
$w = \frac{1}{9}$ $w= 1/9$

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