Answer:
see explanation
Step-by-step explanation:
Given
2t - [tex]\sqrt{2}[/tex] = 3t + [tex]\sqrt{2}[/tex] ( add [tex]\sqrt{2}[/tex] to both sides )
2t = 3t + 2[tex]\sqrt{2}[/tex] ( subtract 3t from both sides )
- t = 2[tex]\sqrt{2}[/tex] ( multiply both sides by - 1 )
t = - 2[tex]\sqrt{2}[/tex]
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Given
(- x + 2[tex]\sqrt{3}[/tex] )(- 3x - [tex]\sqrt{2}[/tex] ) = 0
Equate each factor to zero and solve for x
- x + 2[tex]\sqrt{3}[/tex] = 0 ( subtract 2[tex]\sqrt{3}[/tex] from both sides )
- x = - 2[tex]\sqrt{3}[/tex] ( multiply both sides by - 1 )
x = 2[tex]\sqrt{3}[/tex]
- 3x - [tex]\sqrt{2}[/tex] = 0 ( add [tex]\sqrt{2}[/tex] to both sides )
- 3x = [tex]\sqrt{2}[/tex] ( divide both sides by - 3 )
x = - [tex]\frac{\sqrt{2} }{3}[/tex]
