Question
$$5x^2+3x+2 = 1$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 10 }+\dfrac{\sqrt{ 11 }}{ 10 }i & x_2 = -\dfrac{ 3 }{ 10 }-\dfrac{\sqrt{ 11 }}{ 10 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5x^2+3x+2 &= 1&& \text{move all terms to the left hand side } \\[1 em]5x^2+3x+2-1 &= 0&& \text{simplify left side} \\[1 em]5x^2+3x+1 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}+3x+1 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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