3p^2-4p-7=-7

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Solution for 3p^2-4p-7=-7 equation:


Simplifying
3p2 + -4p + -7 = -7

Reorder the terms:
-7 + -4p + 3p2 = -7

Add '7' to each side of the equation.
-7 + -4p + 7 + 3p2 = -7 + 7

Reorder the terms:
-7 + 7 + -4p + 3p2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + -4p + 3p2 = -7 + 7
-4p + 3p2 = -7 + 7

Combine like terms: -7 + 7 = 0
-4p + 3p2 = 0

Solving
-4p + 3p2 = 0

Solving for variable 'p'.

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


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(-4 + 3p)' equal to zero and attempt to solve:

Simplifying
-4 + 3p = 0

Solving
-4 + 3p = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3p = 0 + 4

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

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

Divide each side by '3'.
p = 1.333333333

Simplifying
p = 1.333333333
Solution
p = {0, 1.333333333}

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