# How do you solve -15( 2u + 6) = - 10( 3u + 15)?

Sep 10, 2016

$\textcolor{m a \ge n t a}{\text{IS THE QUESTION CORRECT?}}$

#### Explanation:

Given:$\text{ } - 15 \left(2 u + 6\right) = - 10 \left(3 u + 15\right)$

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Multiply both sides by (-1)

$+ 15 \left(2 u + 6\right) = + 10 \left(3 u + 15\right)$

Factor out the value 2 from the left hand brackets

$\left(15 \times 2 \left(u + 3\right)\right) = 10 \left(3 u + 15\right)$

$\implies 30 \left(u + 3\right) = 10 \left(3 u + 15\right)$

Factor out 3 from the right hand brackets

$\implies 30 \left(u + 3\right) = 30 \left(u + 5\right)$

Divide both sides by 30

$\implies u + 3 = u + 5 \textcolor{red}{\text{ This is a contradiction !}}$

$\textcolor{m a \ge n t a}{\text{IS THE QUESTION CORRECT?}}$