Question

What are the solutions of 3x2 = 18x

Answer 1

Divide both sides by \(3\) to start with.

Answer 2

\( \color{Black}{\Rightarrow x^2 = 6x}\)

Answer 3

Now take \(6x\) to the other side:

\( \color{Black}{\Rightarrow x^2 - 6x = 0}\)
\( \color{Black}{\Rightarrow x(x - 6) = 0}\)

Answer 4

Solve for \(x\) in these equations:

\( \color{Black}{\Rightarrow x = 0 \quad (\text{Already solved}) }\)
\( \color{Black}{\Rightarrow x - 6 = 0}\)

Answer 5

x(3x)=18x
x=18x/3x=6x
now take 6x to the other side
x-6x=0
x(1-6)=0
x(-5)=0
x=5

Answer 6

?

Answer 7

\( \color{Black}{\Rightarrow 3 \times 5^2 = 18 \times 5}\)

\( \color{Black}{\Rightarrow 75 = 90 }\)

Equation does not satisfy for \(x = 5\).

Answer 8

ohhh i see thanks