5x-2(x+1)²-8=x+2x(2-x)+3
You asked:
Solve the equation \(5 x - 2 {\left( x + 1 \right)}^{2} - 8 = x + 2 \cdot x\left( 2 - x \right) + 3\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = - \frac{13}{4} = -3.25\]
\[\begin{aligned}5 x - 2 {\left( x + 1 \right)}^{2} - 8 &= x + 2 x \left(2 - x\right) + 3\\- 2 x^{2} + x - 10 &= - 2 x^{2} + 5 x + 3\\- 4 x &= 13\\x &= - \frac{13}{4}\end{aligned}\]