4p^2-3p+4=0

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Solution for 4p^2-3p+4=0 equation:


Simplifying
4p2 + -3p + 4 = 0

Reorder the terms:
4 + -3p + 4p2 = 0

Solving
4 + -3p + 4p2 = 0

Solving for variable 'p'.

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

Divide each side by '4'.
1 + -0.75p + p2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.75p + -1 + p2 = 0 + -1

Reorder the terms:
1 + -1 + -0.75p + p2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.75p + p2 = 0 + -1
-0.75p + p2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.75p + p2 = -1

The p term is -0.75p.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75p + 0.140625 + p2 = -1 + 0.140625

Reorder the terms:
0.140625 + -0.75p + p2 = -1 + 0.140625

Combine like terms: -1 + 0.140625 = -0.859375
0.140625 + -0.75p + p2 = -0.859375

Factor a perfect square on the left side:
(p + -0.375)(p + -0.375) = -0.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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