Answer:
The value of x = 3.5 or -4
Step-by-step explanation:
=> 2x² = 28 – x
=> 2x²+ x - 28 = 0
=> 2x² + 8x - 7x - 28 = 0
=> 2x ( x + 4 ) - 7 ( x + 4 ) = 0
=> (2x - 7 ) ( x + 4 )
=> x = 7/2 = 3.5 or x = -4
Answer:
x = –4 or x = 3.5
Step-by-step explanation:
[tex]2x^{2}=28-x\Longleftrightarrow 2x^{2}+x-28=0[/tex]
[tex]\Longleftrightarrow 2x^{2}-7x+8x-28=0[/tex]
[tex]\Longleftrightarrow x(2x-7)+4(2x-7)=0[/tex]
[tex]\Longleftrightarrow (2x-7)(x+4)=0 \ \ \ \ \text{factor out} \left( 2x-7\right)[/tex]
[tex]\Longleftrightarrow 2x-7=0 \ \ or\ x+4=0\ \ \ \ \text{(zero product rule)}[/tex]
[tex]\Longleftrightarrow x=\frac{7}{2} \ \ or\ x=-4[/tex]
