Question

$$(3 { x }^{ 2 } +9x+6)+(9 { x }^{ 3 } +3 { x }^{ 2 } -2x+5)=9 { x }^{ 3 } +6 { x }^{ 2 } +7x+15$$

Answer

[No Solution]

Solution


Remove parentheses.
\[3{x}^{2}+9x+6+9{x}^{3}+3{x}^{2}-2x+5=9{x}^{3}+6{x}^{2}+7x+15\]
Cancel \(9{x}^{3}\) on both sides.
\[3{x}^{2}+9x+6+3{x}^{2}-2x+5=6{x}^{2}+7x+15\]
Simplify  \(3{x}^{2}+9x+6+3{x}^{2}-2x+5\)  to  \(6{x}^{2}+7x+11\).
\[6{x}^{2}+7x+11=6{x}^{2}+7x+15\]
Cancel \(6{x}^{2}\) on both sides.
\[7x+11=7x+15\]
Cancel \(7x\) on both sides.
\[11=15\]
Since \(11=15\) is false, there is no solution.
No Solution