Solve for all values of x by factoring. x^2-6x=-6x+4 Answer Attempt 1 out of 3 square

To solve the equation by factoring, we first need to rewrite it in the standard form of a quadratic equation, which is $ax^2 + bx + c = 0$. Let's start by moving all terms to one side of the equation:<br /><br />$x^2 - 6x + 6x - 4 = 0$<br /><br />Simplifying, we get:<br /><br />$x^2 - 4 = 0$<br /><br />Now, we can factor the left side of the equation:<br /><br />$(x - 2)(x + 2) = 0$<br /><br />Setting each factor equal to zero gives us the solutions:<br /><br />$x - 2 = 0$ or $x + 2 = 0$<br /><br />Solving for $x$ in each equation gives us:<br /><br />$x = 2$ or $x = -2$<br /><br />Therefore, the solutions to the equation are $x = 2$ and $x = -2$.