Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex](x+4)^{2} -x^{2} =0[/tex]
Step 1: Simplify both sides of the equation.
[tex](x+4)^{2} -x^{2} =0[/tex]
[tex]x^{2} +8x+16+-x^{2} =0[/tex] (Distribute Law)
[tex](x^{2} + -x^{2})+(8x)+(16)=0[/tex] (Combine Like Terms)
[tex]8x+16=0[/tex]
[tex]8x+16=0\\\\[/tex]
Step 2: Subtract 16 from both sides.
[tex]8x+16-16=0-16\\8x=-16[/tex]
Step 3: Divide both sides by 8.
[tex]\frac{8x}{8} =\frac{-16}{8}[/tex]
x=−2