14x(x-9.2)+(-5x)=3.1x(x+4)

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Solution for 14x(x-9.2)+(-5x)=3.1x(x+4) equation: 


Simplifying
14x(x + -9.2) + (-5x) = 3.1x(x + 4)

Reorder the terms:
14x(-9.2 + x) + (-5x) = 3.1x(x + 4)
(-9.2 * 14x + x * 14x) + (-5x) = 3.1x(x + 4)
(-128.8x + 14x2) + (-5x) = 3.1x(x + 4)

Reorder the terms:
-128.8x + (-5x) + 14x2 = 3.1x(x + 4)

Combine like terms: -128.8x + (-5x) = -133.8x
-133.8x + 14x2 = 3.1x(x + 4)

Reorder the terms:
-133.8x + 14x2 = 3.1x(4 + x)
-133.8x + 14x2 = (4 * 3.1x + x * 3.1x)
-133.8x + 14x2 = (12.4x + 3.1x2)

Solving
-133.8x + 14x2 = 12.4x + 3.1x2

Solving for variable 'x'.

Reorder the terms:
-133.8x + -12.4x + 14x2 + -3.1x2 = 12.4x + 3.1x2 + -12.4x + -3.1x2

Combine like terms: -133.8x + -12.4x = -146.2x
-146.2x + 14x2 + -3.1x2 = 12.4x + 3.1x2 + -12.4x + -3.1x2

Combine like terms: 14x2 + -3.1x2 = 10.9x2
-146.2x + 10.9x2 = 12.4x + 3.1x2 + -12.4x + -3.1x2

Reorder the terms:
-146.2x + 10.9x2 = 12.4x + -12.4x + 3.1x2 + -3.1x2

Combine like terms: 12.4x + -12.4x = 0.0
-146.2x + 10.9x2 = 0.0 + 3.1x2 + -3.1x2
-146.2x + 10.9x2 = 3.1x2 + -3.1x2

Combine like terms: 3.1x2 + -3.1x2 = 0.0
-146.2x + 10.9x2 = 0.0

The solution to this equation could not be determined.

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