# How do you solve x^2 – 13x = -12 by factoring?

${x}_{1} = 1 , {x}_{2} = 12$
${x}^{2} - 13 x + 12 = 0$
$\implies {x}^{2} - x - 12 x + 12 = 0$
$\implies x \cdot \left(x - 1\right) - 12 \cdot \left(x - 1\right) = 0$
$\implies \left(x - 1\right) \cdot \left(x - 12\right) = 0$
$\implies {x}_{1} = 1 , {x}_{2} = 12$