Respuesta :

Answer:

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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

Answer:

x=−2