8p^2+8p=-7p^2-3p+14

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Solution for 8p^2+8p=-7p^2-3p+14 equation: 


Simplifying
8p2 + 8p = -7p2 + -3p + 14

Reorder the terms:
8p + 8p2 = -7p2 + -3p + 14

Reorder the terms:
8p + 8p2 = 14 + -3p + -7p2

Solving
8p + 8p2 = 14 + -3p + -7p2

Solving for variable 'p'.

Reorder the terms:
-14 + 8p + 3p + 8p2 + 7p2 = 14 + -3p + -7p2 + -14 + 3p + 7p2

Combine like terms: 8p + 3p = 11p
-14 + 11p + 8p2 + 7p2 = 14 + -3p + -7p2 + -14 + 3p + 7p2

Combine like terms: 8p2 + 7p2 = 15p2
-14 + 11p + 15p2 = 14 + -3p + -7p2 + -14 + 3p + 7p2

Reorder the terms:
-14 + 11p + 15p2 = 14 + -14 + -3p + 3p + -7p2 + 7p2

Combine like terms: 14 + -14 = 0
-14 + 11p + 15p2 = 0 + -3p + 3p + -7p2 + 7p2
-14 + 11p + 15p2 = -3p + 3p + -7p2 + 7p2

Combine like terms: -3p + 3p = 0
-14 + 11p + 15p2 = 0 + -7p2 + 7p2
-14 + 11p + 15p2 = -7p2 + 7p2

Combine like terms: -7p2 + 7p2 = 0
-14 + 11p + 15p2 = 0

Factor a trinomial.
(-7 + -5p)(2 + -3p) = 0


Subproblem 1
Set the factor '(-7 + -5p)' equal to zero and attempt to solve:

Simplifying
-7 + -5p = 0

Solving
-7 + -5p = 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 + -5p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5p = 0 + 7
-5p = 0 + 7

Combine like terms: 0 + 7 = 7
-5p = 7

Divide each side by '-5'.
p = -1.4

Simplifying
p = -1.4

Subproblem 2
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
Solution
p = {-1.4, 0.6666666667}

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