Question
$$2(x-1)(x+5)+3x(x-2) = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 1 }{ 5 }-\dfrac{\sqrt{ 51 }}{ 5 } & x_2 = -\dfrac{ 1 }{ 5 }+\dfrac{\sqrt{ 51 }}{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2(x-1)(x+5)+3x(x-2) &= 0&& \text{simplify left side} \\[1 em](2x-2)(x+5)+3x^2-6x &= 0&& \\[1 em]2x^2+10x-2x-10+3x^2-6x &= 0&& \\[1 em]2x^2+8x-10+3x^2-6x &= 0&& \\[1 em]5x^2+2x-10 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}+2x-10 = 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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