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