4x^2-11x+15=0

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Solution for 4x^2-11x+15=0 equation:


Simplifying
4x2 + -11x + 15 = 0

Reorder the terms:
15 + -11x + 4x2 = 0

Solving
15 + -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'.
3.75 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -2.75x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -2.75x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -2.75x + x2 = 0 + -3.75
-2.75x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-2.75x + x2 = -3.75

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 = -3.75 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -3.75 + 1.890625

Combine like terms: -3.75 + 1.890625 = -1.859375
1.890625 + -2.75x + x2 = -1.859375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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