4(3p^2-2p)-12p^2=2(8p+6)

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Solution for 4(3p^2-2p)-12p^2=2(8p+6) equation:


Simplifying
4(3p2 + -2p) + -12p2 = 2(8p + 6)

Reorder the terms:
4(-2p + 3p2) + -12p2 = 2(8p + 6)
(-2p * 4 + 3p2 * 4) + -12p2 = 2(8p + 6)
(-8p + 12p2) + -12p2 = 2(8p + 6)

Combine like terms: 12p2 + -12p2 = 0
-8p + 0 = 2(8p + 6)
-8p = 2(8p + 6)

Reorder the terms:
-8p = 2(6 + 8p)
-8p = (6 * 2 + 8p * 2)
-8p = (12 + 16p)

Solving
-8p = 12 + 16p

Solving for variable 'p'.

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

Add '-16p' to each side of the equation.
-8p + -16p = 12 + 16p + -16p

Combine like terms: -8p + -16p = -24p
-24p = 12 + 16p + -16p

Combine like terms: 16p + -16p = 0
-24p = 12 + 0
-24p = 12

Divide each side by '-24'.
p = -0.5

Simplifying
p = -0.5

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