p^2-7p-2=-2

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


Simplifying
p2 + -7p + -2 = -2

Reorder the terms:
-2 + -7p + p2 = -2

Add '2' to each side of the equation.
-2 + -7p + 2 + p2 = -2 + 2

Reorder the terms:
-2 + 2 + -7p + p2 = -2 + 2

Combine like terms: -2 + 2 = 0
0 + -7p + p2 = -2 + 2
-7p + p2 = -2 + 2

Combine like terms: -2 + 2 = 0
-7p + p2 = 0

Solving
-7p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-7 + p) = 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 '(-7 + p)' equal to zero and attempt to solve: Simplifying -7 + p = 0 Solving -7 + p = 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 + p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + p = 0 + 7 p = 0 + 7 Combine like terms: 0 + 7 = 7 p = 7 Simplifying p = 7

Solution

p = {0, 7}

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