(4x-1)2+(6x+9)2=a

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Solution for (4x-1)2+(6x+9)2=a equation: 


Simplifying
(4x + -1) * 2 + (6x + 9) * 2 = a

Reorder the terms:
(-1 + 4x) * 2 + (6x + 9) * 2 = a

Reorder the terms for easier multiplication:
2(-1 + 4x) + (6x + 9) * 2 = a
(-1 * 2 + 4x * 2) + (6x + 9) * 2 = a
(-2 + 8x) + (6x + 9) * 2 = a

Reorder the terms:
-2 + 8x + (9 + 6x) * 2 = a

Reorder the terms for easier multiplication:
-2 + 8x + 2(9 + 6x) = a
-2 + 8x + (9 * 2 + 6x * 2) = a
-2 + 8x + (18 + 12x) = a

Reorder the terms:
-2 + 18 + 8x + 12x = a

Combine like terms: -2 + 18 = 16
16 + 8x + 12x = a

Combine like terms: 8x + 12x = 20x
16 + 20x = a

Solving
16 + 20x = a

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 20x = -16 + a

Combine like terms: 16 + -16 = 0
0 + 20x = -16 + a
20x = -16 + a

Divide each side by '20'.
x = -0.8 + 0.05a

Simplifying
x = -0.8 + 0.05a

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