-3x^2+5x=4

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Solution for -3x^2+5x=4 equation: 


Simplifying
-3x2 + 5x = 4

Reorder the terms:
5x + -3x2 = 4

Solving
5x + -3x2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + 5x + -3x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 5x + -3x2 = 0

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

Divide each side by '-3'.
1.333333333 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.666666667x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.666666667x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -1.333333333
-1.666666667x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.666666667x + x2 = -1.333333333

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 = -1.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -1.333333333 + 0.6944444447

Combine like terms: -1.333333333 + 0.6944444447 = -0.6388888883
0.6944444447 + -1.666666667x + x2 = -0.6388888883

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -0.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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