5+3p(4p+a)=

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Solution for 5+3p(4p+a)= equation:


Simplifying
5 + 3p(4p + a) = 0

Reorder the terms:
5 + 3p(a + 4p) = 0
5 + (a * 3p + 4p * 3p) = 0
5 + (3ap + 12p2) = 0

Solving
5 + 3ap + 12p2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + 3ap + -5 + 12p2 = 0 + -5

Reorder the terms:
5 + -5 + 3ap + 12p2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3ap + 12p2 = 0 + -5
3ap + 12p2 = 0 + -5

Combine like terms: 0 + -5 = -5
3ap + 12p2 = -5

Add '-12p2' to each side of the equation.
3ap + 12p2 + -12p2 = -5 + -12p2

Combine like terms: 12p2 + -12p2 = 0
3ap + 0 = -5 + -12p2
3ap = -5 + -12p2

Divide each side by '3p'.
a = -1.666666667p-1 + -4p

Simplifying
a = -1.666666667p-1 + -4p

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