2x(7-x)=50

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Solution for 2x(7-x)=50 equation: 


Simplifying
2x(7 + -1x) = 50
(7 * 2x + -1x * 2x) = 50
(14x + -2x2) = 50

Solving
14x + -2x2 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + 14x + -2x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + 14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + 7x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + 7x + -1x2)' equal to zero and attempt to solve:

Simplifying
-25 + 7x + -1x2 = 0

Solving
-25 + 7x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
25 + -7x + x2 = 0

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -7x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -7x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -7x + x2 = 0 + -25
-7x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-7x + x2 = -25

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -25 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -25 + 12.25

Combine like terms: -25 + 12.25 = -12.75
12.25 + -7x + x2 = -12.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -12.75

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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