4.2=0.1006x^2-0.7232x+5.5518

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Solution for 4.2=0.1006x^2-0.7232x+5.5518 equation:


Simplifying
4.2 = 0.1006x2 + -0.7232x + 5.5518

Reorder the terms:
4.2 = 5.5518 + -0.7232x + 0.1006x2

Solving
4.2 = 5.5518 + -0.7232x + 0.1006x2

Solving for variable 'x'.

Combine like terms: 4.2 + -5.5518 = -1.3518
-1.3518 + 0.7232x + -0.1006x2 = 5.5518 + -0.7232x + 0.1006x2 + -5.5518 + 0.7232x + -0.1006x2

Reorder the terms:
-1.3518 + 0.7232x + -0.1006x2 = 5.5518 + -5.5518 + -0.7232x + 0.7232x + 0.1006x2 + -0.1006x2

Combine like terms: 5.5518 + -5.5518 = 0.0000
-1.3518 + 0.7232x + -0.1006x2 = 0.0000 + -0.7232x + 0.7232x + 0.1006x2 + -0.1006x2
-1.3518 + 0.7232x + -0.1006x2 = -0.7232x + 0.7232x + 0.1006x2 + -0.1006x2

Combine like terms: -0.7232x + 0.7232x = 0.0000
-1.3518 + 0.7232x + -0.1006x2 = 0.0000 + 0.1006x2 + -0.1006x2
-1.3518 + 0.7232x + -0.1006x2 = 0.1006x2 + -0.1006x2

Combine like terms: 0.1006x2 + -0.1006x2 = 0.0000
-1.3518 + 0.7232x + -0.1006x2 = 0.0000

Begin completing the square.  Divide all terms by
-0.1006 the coefficient of the squared term: 

Divide each side by '-0.1006'.
13.43737575 + -7.188866799x + x2 = 0

Move the constant term to the right:

Add '-13.43737575' to each side of the equation.
13.43737575 + -7.188866799x + -13.43737575 + x2 = 0 + -13.43737575

Reorder the terms:
13.43737575 + -13.43737575 + -7.188866799x + x2 = 0 + -13.43737575

Combine like terms: 13.43737575 + -13.43737575 = 0.00000000
0.00000000 + -7.188866799x + x2 = 0 + -13.43737575
-7.188866799x + x2 = 0 + -13.43737575

Combine like terms: 0 + -13.43737575 = -13.43737575
-7.188866799x + x2 = -13.43737575

The x term is -7.188866799x.  Take half its coefficient (-3.5944334).
Square it (12.91995147) and add it to both sides.

Add '12.91995147' to each side of the equation.
-7.188866799x + 12.91995147 + x2 = -13.43737575 + 12.91995147

Reorder the terms:
12.91995147 + -7.188866799x + x2 = -13.43737575 + 12.91995147

Combine like terms: -13.43737575 + 12.91995147 = -0.51742428
12.91995147 + -7.188866799x + x2 = -0.51742428

Factor a perfect square on the left side:
(x + -3.5944334)(x + -3.5944334) = -0.51742428

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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