0=3x^2-5x+450

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Solution for 0=3x^2-5x+450 equation: 


Simplifying
0 = 3x2 + -5x + 450

Reorder the terms:
0 = 450 + -5x + 3x2

Solving
0 = 450 + -5x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -450 = -450
-450 + 5x + -3x2 = 450 + -5x + 3x2 + -450 + 5x + -3x2

Reorder the terms:
-450 + 5x + -3x2 = 450 + -450 + -5x + 5x + 3x2 + -3x2

Combine like terms: 450 + -450 = 0
-450 + 5x + -3x2 = 0 + -5x + 5x + 3x2 + -3x2
-450 + 5x + -3x2 = -5x + 5x + 3x2 + -3x2

Combine like terms: -5x + 5x = 0
-450 + 5x + -3x2 = 0 + 3x2 + -3x2
-450 + 5x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-450 + 5x + -3x2 = 0

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

Divide each side by '-3'.
150 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + -1.666666667x + -150 + x2 = 0 + -150

Reorder the terms:
150 + -150 + -1.666666667x + x2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -1.666666667x + x2 = 0 + -150
-1.666666667x + x2 = 0 + -150

Combine like terms: 0 + -150 = -150
-1.666666667x + x2 = -150

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -150 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -150 + 0.6944444447

Combine like terms: -150 + 0.6944444447 = -149.3055555553
0.6944444447 + -1.666666667x + x2 = -149.3055555553

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -149.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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