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Question
a\left(2x\times 3\right)=9x\times 15x
Solve the equation
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\text{Solve for }x
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\text{Solve for }a
\begin{align}&x=0\\&x=\frac{2a}{45}\end{align}
Evaluate
a\left(2x\times 3\right)=9x\times 15x
Remove the parentheses
a\times 2x\times 3=9x\times 15x
Multiply
More Steps
Evaluate
a\times 2x\times 3
Multiply the terms
a\times 6x
Use the commutative property to reorder the terms
6ax
6ax=9x\times 15x
Multiply
More Steps
Evaluate
9x\times 15x
Multiply the terms
135x\times x
Multiply the terms
135x^{2}
6ax=135x^{2}
Add or subtract both sides
6ax-135x^{2}=0
Factor the expression
More Steps
Evaluate
6ax-135x^{2}
Rewrite the expression
3x\times 2a-3x\times 45x
\text{Factor out }3x\text{ from the expression}
3x\left(2a-45x\right)
3x\left(2a-45x\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&3x=0\\&2a-45x=0\end{align}
\text{Solve the equation for }x
\begin{align}&x=0\\&2a-45x=0\end{align}
Solution
More Steps
Evaluate
2a-45x=0
Move the expression to the right-hand side and change its sign
-45x=0-2a
Removing 0 doesn't change the value,so remove it from the expression
-45x=-2a
Change the signs on both sides of the equation
45x=2a
Divide both sides
\frac{45x}{45}=\frac{2a}{45}
Divide the numbers
x=\frac{2a}{45}
\begin{align}&x=0\\&x=\frac{2a}{45}\end{align}
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