Solve the equation by factoring. 2x^2=8x

x= 0    x=4

Step-by-step explanation:

2x^2=8x

Subtract 8x from each side

2x^2   -8x=8x-8x

2x^2 - 8x =0

Factor 2x

2x( x-4) =0

Using the zero product property

2x =0   x-4 =0

x= 0    x=4

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.