4x^2-14x+56=0

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Solution for 4x^2-14x+56=0 equation: 


Simplifying
4x2 + -14x + 56 = 0

Reorder the terms:
56 + -14x + 4x2 = 0

Solving
56 + -14x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + -7x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(28 + -7x + 2x2)' equal to zero and attempt to solve:

Simplifying
28 + -7x + 2x2 = 0

Solving
28 + -7x + 2x2 = 0

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

Divide each side by '2'.
14 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -3.5x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -3.5x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3.5x + x2 = 0 + -14
-3.5x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-3.5x + x2 = -14

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -14 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -14 + 3.0625

Combine like terms: -14 + 3.0625 = -10.9375
3.0625 + -3.5x + x2 = -10.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -10.9375

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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