4x^2-11x+12=0

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Solution for 4x^2-11x+12=0 equation:


Simplifying
4x2 + -11x + 12 = 0

Reorder the terms:
12 + -11x + 4x2 = 0

Solving
12 + -11x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
3 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.75x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.75x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.75x + x2 = 0 + -3
-2.75x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.75x + x2 = -3

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -3 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -3 + 1.890625

Combine like terms: -3 + 1.890625 = -1.109375
1.890625 + -2.75x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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