7p^2-53p+28=0

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Solution for 7p^2-53p+28=0 equation: 


Simplifying
7p2 + -53p + 28 = 0

Reorder the terms:
28 + -53p + 7p2 = 0

Solving
28 + -53p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(4 + -7p)(7 + -1p) = 0


Subproblem 1
Set the factor '(4 + -7p)' equal to zero and attempt to solve:

Simplifying
4 + -7p = 0

Solving
4 + -7p = 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 + -7p = 0 + -4

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

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

Divide each side by '-7'.
p = 0.5714285714

Simplifying
p = 0.5714285714

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 = {0.5714285714, 7}

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