5p^2-42p+49=0

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Solution for 5p^2-42p+49=0 equation: 


Simplifying
5p2 + -42p + 49 = 0

Reorder the terms:
49 + -42p + 5p2 = 0

Solving
49 + -42p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + -5p)(7 + -1p) = 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 '(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 = {1.4, 7}

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