0,25x²+x-4=-0,5x+1

0,25x²+x-4=-0,5x+1

$$\small{\text{
$
\begin{array}{rcll}
0,25x^2+x-4 &=& -0,5x+1 & \quad | \quad +0.5x-1\\
0,25x^2+x-4 +0.5x-1&=& 0\\
0,25x^2 +1.5x-5 &=& 0 & \quad | \quad \cdot 4\\
x^2 + 6x -20 &=& 0\\
\end{array}
$}}$$

$$\small{\text{
$
\begin{array}{rcll}
x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{36}{4}+20} \\
x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{36}{4} +20\cdot\frac{4}{4}} \\
x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{36+80}{4} } \\
x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{116}{4} } \\
x_{1,2} &=& -\frac{6}{2}\pm\sqrt{\frac{4\cdot 29}{4} } \\
x_{1,2} &=& -3\pm\sqrt{29}\\
\end{array}
$}}$$

$$\small{\text{
$
\begin{array}{l|l}
x_1=-3+\sqrt{29} \quad & \quad x_2 = -3 - \sqrt{29}\\
x_1 = 2.38516480713 \quad & \quad x_2 = -8.38516480713\\
\end{array}
$}}$$