Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
