3p^2-10p=14+9p

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Solution for 3p^2-10p=14+9p equation: 


Simplifying
3p2 + -10p = 14 + 9p

Reorder the terms:
-10p + 3p2 = 14 + 9p

Solving
-10p + 3p2 = 14 + 9p

Solving for variable 'p'.

Reorder the terms:
-14 + -10p + -9p + 3p2 = 14 + 9p + -14 + -9p

Combine like terms: -10p + -9p = -19p
-14 + -19p + 3p2 = 14 + 9p + -14 + -9p

Reorder the terms:
-14 + -19p + 3p2 = 14 + -14 + 9p + -9p

Combine like terms: 14 + -14 = 0
-14 + -19p + 3p2 = 0 + 9p + -9p
-14 + -19p + 3p2 = 9p + -9p

Combine like terms: 9p + -9p = 0
-14 + -19p + 3p2 = 0

Factor a trinomial.
(-2 + -3p)(7 + -1p) = 0


Subproblem 1
Set the factor '(-2 + -3p)' equal to zero and attempt to solve:

Simplifying
-2 + -3p = 0

Solving
-2 + -3p = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3p = 0 + 2
-3p = 0 + 2

Combine like terms: 0 + 2 = 2
-3p = 2

Divide each side by '-3'.
p = -0.6666666667

Simplifying
p = -0.6666666667

Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve:

Simplifying
7 + -1p = 0

Solving
7 + -1p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = 0 + -7
-1p = 0 + -7

Combine like terms: 0 + -7 = -7
-1p = -7

Divide each side by '-1'.
p = 7

Simplifying
p = 7
Solution
p = {-0.6666666667, 7}

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