40-2x+0.03x^2=40-x+0.01x^2

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Solution for 40-2x+0.03x^2=40-x+0.01x^2 equation:


Simplifying
40 + -2x + 0.03x2 = 40 + -1x + 0.01x2

Add '-40' to each side of the equation.
40 + -2x + -40 + 0.03x2 = 40 + -1x + -40 + 0.01x2

Reorder the terms:
40 + -40 + -2x + 0.03x2 = 40 + -1x + -40 + 0.01x2

Combine like terms: 40 + -40 = 0
0 + -2x + 0.03x2 = 40 + -1x + -40 + 0.01x2
-2x + 0.03x2 = 40 + -1x + -40 + 0.01x2

Reorder the terms:
-2x + 0.03x2 = 40 + -40 + -1x + 0.01x2

Combine like terms: 40 + -40 = 0
-2x + 0.03x2 = 0 + -1x + 0.01x2
-2x + 0.03x2 = -1x + 0.01x2

Solving
-2x + 0.03x2 = -1x + 0.01x2

Solving for variable 'x'.

Reorder the terms:
-2x + x + 0.03x2 + -0.01x2 = -1x + 0.01x2 + x + -0.01x2

Combine like terms: -2x + x = -1x
-1x + 0.03x2 + -0.01x2 = -1x + 0.01x2 + x + -0.01x2

Combine like terms: 0.03x2 + -0.01x2 = 0.02x2
-1x + 0.02x2 = -1x + 0.01x2 + x + -0.01x2

Reorder the terms:
-1x + 0.02x2 = -1x + x + 0.01x2 + -0.01x2

Combine like terms: -1x + x = 0
-1x + 0.02x2 = 0 + 0.01x2 + -0.01x2
-1x + 0.02x2 = 0.01x2 + -0.01x2

Combine like terms: 0.01x2 + -0.01x2 = 0.00
-1x + 0.02x2 = 0.00

The solution to this equation could not be determined.

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