Answer:
[tex]x = -2[/tex] or [tex]x = 5[/tex]
Step-by-step explanation:
[tex]x^{2} - 3x = 10[/tex]
[tex]x^{2} -3x -10 = 0[/tex] [Bring 0 to LHS to make it to a quadratic equation]
[tex](x + 2)(x - 5) = 0[/tex] [Factorise the equation]
For this expression to be zero, either one of the terms need to be zero. Hence,
[tex]x+ 2 =0[/tex] or [tex]x-5=0[/tex]
[tex]x = -2[/tex] or [tex]x = 5[/tex]
