32p^2-12p+24=0

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Solution for 32p^2-12p+24=0 equation: 


Simplifying
32p2 + -12p + 24 = 0

Reorder the terms:
24 + -12p + 32p2 = 0

Solving
24 + -12p + 32p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -3p + 8p2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(6 + -3p + 8p2)' equal to zero and attempt to solve:

Simplifying
6 + -3p + 8p2 = 0

Solving
6 + -3p + 8p2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.75 + -0.375p + p2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.375p + -0.75 + p2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.375p + p2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.375p + p2 = 0 + -0.75
-0.375p + p2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.375p + p2 = -0.75

The p term is -0.375p.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375p + 0.03515625 + p2 = -0.75 + 0.03515625

Reorder the terms:
0.03515625 + -0.375p + p2 = -0.75 + 0.03515625

Combine like terms: -0.75 + 0.03515625 = -0.71484375
0.03515625 + -0.375p + p2 = -0.71484375

Factor a perfect square on the left side:
(p + -0.1875)(p + -0.1875) = -0.71484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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