Solve: 7|x| = 42

36

–6 or 6

no solution

6

-6 or 6

Step-by-step explanation:

7x|x|=42 (divide both sides)

|x|=6 (separate into possible cases)

x=6

x=-6  (the equation has two solutions)

hope this helps!

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1