Quadratic equations and inequalities

For $x\in [-3;5]$ find the solution set of the following equation. $$|(x+3)(x-5)|=5$$

For $x\in (1;2)$ choose the correct form of the equation $$|2x^2-5x-7|=|x^2-3x+1|$$ that does not contain an absolute value.

We are given the equation $2x^2+10x=8x+2x^2$. Decide which of the following equations has the different set of roots than the given equation has, i.e. choose the equation which is not equivalent to the given equation.

Find all $x$ such that the expression $(x-1)(x-7)$ is negative.