Question

Solve the equation by factoring. 2x^2 = 28 – x

Answer 1

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 2

Answer:

x = –4 or x = 3.5

Step-by-step explanation:

$2x^{2}=28-x\Longleftrightarrow 2x^{2}+x-28=0$

                    $\Longleftrightarrow 2x^{2}-7x+8x-28=0$

                    $\Longleftrightarrow x(2x-7)+4(2x-7)=0$

                    $\Longleftrightarrow (2x-7)(x+4)=0 \ \ \ \ \text{factor out} \left( 2x-7\right)$

                    $\Longleftrightarrow 2x-7=0 \ \ or\ x+4=0\ \ \ \ \text{(zero product rule)}$              

                    $\Longleftrightarrow x=\frac{7}{2} \ \ or\ x=-4$