100=x(12-2x)

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Solution for 100=x(12-2x) equation: 


Simplifying
100 = x(12 + -2x)
100 = (12 * x + -2x * x)
100 = (12x + -2x2)

Solving
100 = 12x + -2x2

Solving for variable 'x'.

Reorder the terms:
100 + -12x + 2x2 = 12x + -12x + -2x2 + 2x2

Combine like terms: 12x + -12x = 0
100 + -12x + 2x2 = 0 + -2x2 + 2x2
100 + -12x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
100 + -12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(50 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
50 + -6x + x2 = 0

Solving
50 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -6x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + -6x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -6x + x2 = 0 + -50
-6x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-6x + x2 = -50

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -50 + 9

Reorder the terms:
9 + -6x + x2 = -50 + 9

Combine like terms: -50 + 9 = -41
9 + -6x + x2 = -41

Factor a perfect square on the left side:
(x + -3)(x + -3) = -41

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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