300=x(4-3x)

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Solution for 300=x(4-3x) equation:


Simplifying
300 = x(4 + -3x)
300 = (4 * x + -3x * x)
300 = (4x + -3x2)

Solving
300 = 4x + -3x2

Solving for variable 'x'.

Reorder the terms:
300 + -4x + 3x2 = 4x + -4x + -3x2 + 3x2

Combine like terms: 4x + -4x = 0
300 + -4x + 3x2 = 0 + -3x2 + 3x2
300 + -4x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
300 + -4x + 3x2 = 0

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

Divide each side by '3'.
100 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -1.333333333x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + -1.333333333x + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1.333333333x + x2 = 0 + -100
-1.333333333x + x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-1.333333333x + x2 = -100

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -100 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -100 + 0.4444444442

Combine like terms: -100 + 0.4444444442 = -99.5555555558
0.4444444442 + -1.333333333x + x2 = -99.5555555558

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -99.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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