29p^2-28p-26=2+8p^2

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Solution for 29p^2-28p-26=2+8p^2 equation: 


Simplifying
29p2 + -28p + -26 = 2 + 8p2

Reorder the terms:
-26 + -28p + 29p2 = 2 + 8p2

Solving
-26 + -28p + 29p2 = 2 + 8p2

Solving for variable 'p'.

Reorder the terms:
-26 + -2 + -28p + 29p2 + -8p2 = 2 + 8p2 + -2 + -8p2

Combine like terms: -26 + -2 = -28
-28 + -28p + 29p2 + -8p2 = 2 + 8p2 + -2 + -8p2

Combine like terms: 29p2 + -8p2 = 21p2
-28 + -28p + 21p2 = 2 + 8p2 + -2 + -8p2

Reorder the terms:
-28 + -28p + 21p2 = 2 + -2 + 8p2 + -8p2

Combine like terms: 2 + -2 = 0
-28 + -28p + 21p2 = 0 + 8p2 + -8p2
-28 + -28p + 21p2 = 8p2 + -8p2

Combine like terms: 8p2 + -8p2 = 0
-28 + -28p + 21p2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-4 + -4p + 3p2) = 0

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

Ignore the factor 7.

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 '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {-0.6666666667, 2}

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