100a^2-25x^2+40=x-16

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Solution for 100a^2-25x^2+40=x-16 equation: 


Simplifying
100a2 + -25x2 + 40 = x + -16

Reorder the terms:
40 + 100a2 + -25x2 = x + -16

Reorder the terms:
40 + 100a2 + -25x2 = -16 + x

Solving
40 + 100a2 + -25x2 = -16 + x

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-40' to each side of the equation.
40 + 100a2 + -40 + -25x2 = -16 + -40 + x

Reorder the terms:
40 + -40 + 100a2 + -25x2 = -16 + -40 + x

Combine like terms: 40 + -40 = 0
0 + 100a2 + -25x2 = -16 + -40 + x
100a2 + -25x2 = -16 + -40 + x

Combine like terms: -16 + -40 = -56
100a2 + -25x2 = -56 + x

Add '25x2' to each side of the equation.
100a2 + -25x2 + 25x2 = -56 + x + 25x2

Combine like terms: -25x2 + 25x2 = 0
100a2 + 0 = -56 + x + 25x2
100a2 = -56 + x + 25x2

Divide each side by '100'.
a2 = -0.56 + 0.01x + 0.25x2

Simplifying
a2 = -0.56 + 0.01x + 0.25x2

Reorder the terms:
0.56 + a2 + -0.01x + -0.25x2 = -0.56 + 0.01x + 0.25x2 + 0.56 + -0.01x + -0.25x2

Reorder the terms:
0.56 + a2 + -0.01x + -0.25x2 = -0.56 + 0.56 + 0.01x + -0.01x + 0.25x2 + -0.25x2

Combine like terms: -0.56 + 0.56 = 0.00
0.56 + a2 + -0.01x + -0.25x2 = 0.00 + 0.01x + -0.01x + 0.25x2 + -0.25x2
0.56 + a2 + -0.01x + -0.25x2 = 0.01x + -0.01x + 0.25x2 + -0.25x2

Combine like terms: 0.01x + -0.01x = 0.00
0.56 + a2 + -0.01x + -0.25x2 = 0.00 + 0.25x2 + -0.25x2
0.56 + a2 + -0.01x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
0.56 + a2 + -0.01x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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