Respuesta :

Answer:

[tex](2x + 3)(3x - 5)[/tex]

Step-by-step explanation:

Step 1:  Subtract 15 from both sides

[tex]6x^2 - x - 15 = 15 - 15[/tex]

[tex]6x^2 - x - 15[/tex]

Step 2:  Factor

[tex]6x^2 - x - 15[/tex]

[tex](2x + 3)(3x - 5)[/tex]

Answer:  [tex](2x + 3)(3x - 5)[/tex]

Answer:

[tex]x_{1} = -\frac{3}{2} \\x_{2}=\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]6x^{2} -x=15[/tex] move the constant to the left

[tex]6x^{2} -x-15=0[/tex] write as a difference

[tex]6x^{2} +9x-10x-15=0[/tex] factor the expressions

[tex]3x *(2x+3)-5(2x+3)=0[/tex] factor the expression

[tex](2x+3) * (3x-5) = 0[/tex] split into possible cases

[tex]2x+3=0\\3x-5=0[/tex] solve the equations