Question

The values of x in the equation

7(x+2p)2

+ 5p2

= 35xp + 117p2

are​

Answer 1

Answer:

May this answer help you

X= - 3p and x=4p

Answer 2

The value of x is 4p or -3p.

Step-by-step explanation:

Consider the provided equation.

$7(x+2p)^2+5p^2= 35px+117 p^2$

$7(x^2+4p^2+4xp)+5p^2=35px+117p^2\\7x^2+28p^2+28xp+5p^2=35px+117p^2\\7x^2+33p^2+28px = 35px+ 117 p^2$

Simplify the expression.

$7x^2-7px-84p^2=0\\x^2-px-12p^2 = 0 \\x^2-4px+3px-12p^2\\x(x-4p)+3p(x-4p)=0\\x=4p\ or\ x=-3p$

Hence, the value of x is 4p or -3p.

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