100a^2-25x^2+40x-16=0

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Solution for 100a^2-25x^2+40x-16=0 equation: 


Simplifying
100a2 + -25x2 + 40x + -16 = 0

Reorder the terms:
-16 + 100a2 + 40x + -25x2 = 0

Solving
-16 + 100a2 + 40x + -25x2 = 0

Solving for variable 'a'.

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

Add '16' to each side of the equation.
-16 + 100a2 + 40x + 16 + -25x2 = 0 + 16

Reorder the terms:
-16 + 16 + 100a2 + 40x + -25x2 = 0 + 16

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

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

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

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

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

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

Divide each side by '100'.
a2 = 0.16 + -0.4x + 0.25x2

Simplifying
a2 = 0.16 + -0.4x + 0.25x2

Reorder the terms:
-0.16 + a2 + 0.4x + -0.25x2 = 0.16 + -0.4x + 0.25x2 + -0.16 + 0.4x + -0.25x2

Reorder the terms:
-0.16 + a2 + 0.4x + -0.25x2 = 0.16 + -0.16 + -0.4x + 0.4x + 0.25x2 + -0.25x2

Combine like terms: 0.16 + -0.16 = 0.00
-0.16 + a2 + 0.4x + -0.25x2 = 0.00 + -0.4x + 0.4x + 0.25x2 + -0.25x2
-0.16 + a2 + 0.4x + -0.25x2 = -0.4x + 0.4x + 0.25x2 + -0.25x2

Combine like terms: -0.4x + 0.4x = 0.0
-0.16 + a2 + 0.4x + -0.25x2 = 0.0 + 0.25x2 + -0.25x2
-0.16 + a2 + 0.4x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-0.16 + a2 + 0.4x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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