1. (2x+7) (x-1)=0 2.8x-5X-7 = 3.3x(x+5)=8 -3 4. (x+3)² = −3 5.2x²-8=5x
Answer (1)
1. To solve the equation [tex](2x+7)(x-1)=0[/tex], we set each factor equal to zero and solve for x.[tex]2x+7=0[/tex] or [tex]x-1=0[/tex]For [tex]2x+7=0[/tex]:[tex]2x=-7[/tex][tex]x=-\frac{7}2}[/tex]For [tex]x-1=0[/tex]:[tex]x=1[/tex]Answer:[tex]x=-\frac{7}{2}[/tex] or [tex]x=1[/tex]2. [tex]8x-5x-7=3[/tex]Combine like terms:[tex]3x-7=3[/tex]Add 7 to both sides:[tex]3x=10[/tex]Divide by 3:[tex]x=\frac{10}{3}[/tex]Answer:[tex]x=\frac{10}{3}[/tex]
