3p(3p-8)-8=9p(p-3)+4

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Solution for 3p(3p-8)-8=9p(p-3)+4 equation:


Simplifying
3p(3p + -8) + -8 = 9p(p + -3) + 4

Reorder the terms:
3p(-8 + 3p) + -8 = 9p(p + -3) + 4
(-8 * 3p + 3p * 3p) + -8 = 9p(p + -3) + 4
(-24p + 9p2) + -8 = 9p(p + -3) + 4

Reorder the terms:
-8 + -24p + 9p2 = 9p(p + -3) + 4

Reorder the terms:
-8 + -24p + 9p2 = 9p(-3 + p) + 4
-8 + -24p + 9p2 = (-3 * 9p + p * 9p) + 4
-8 + -24p + 9p2 = (-27p + 9p2) + 4

Reorder the terms:
-8 + -24p + 9p2 = 4 + -27p + 9p2

Add '-9p2' to each side of the equation.
-8 + -24p + 9p2 + -9p2 = 4 + -27p + 9p2 + -9p2

Combine like terms: 9p2 + -9p2 = 0
-8 + -24p + 0 = 4 + -27p + 9p2 + -9p2
-8 + -24p = 4 + -27p + 9p2 + -9p2

Combine like terms: 9p2 + -9p2 = 0
-8 + -24p = 4 + -27p + 0
-8 + -24p = 4 + -27p

Solving
-8 + -24p = 4 + -27p

Solving for variable 'p'.

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

Add '27p' to each side of the equation.
-8 + -24p + 27p = 4 + -27p + 27p

Combine like terms: -24p + 27p = 3p
-8 + 3p = 4 + -27p + 27p

Combine like terms: -27p + 27p = 0
-8 + 3p = 4 + 0
-8 + 3p = 4

Add '8' to each side of the equation.
-8 + 8 + 3p = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 3p = 4 + 8
3p = 4 + 8

Combine like terms: 4 + 8 = 12
3p = 12

Divide each side by '3'.
p = 4

Simplifying
p = 4

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