(6x-41)2+(3x+22)2=360

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Solution for (6x-41)2+(3x+22)2=360 equation:


Simplifying
(6x + -41) * 2 + (3x + 22) * 2 = 360

Reorder the terms:
(-41 + 6x) * 2 + (3x + 22) * 2 = 360

Reorder the terms for easier multiplication:
2(-41 + 6x) + (3x + 22) * 2 = 360
(-41 * 2 + 6x * 2) + (3x + 22) * 2 = 360
(-82 + 12x) + (3x + 22) * 2 = 360

Reorder the terms:
-82 + 12x + (22 + 3x) * 2 = 360

Reorder the terms for easier multiplication:
-82 + 12x + 2(22 + 3x) = 360
-82 + 12x + (22 * 2 + 3x * 2) = 360
-82 + 12x + (44 + 6x) = 360

Reorder the terms:
-82 + 44 + 12x + 6x = 360

Combine like terms: -82 + 44 = -38
-38 + 12x + 6x = 360

Combine like terms: 12x + 6x = 18x
-38 + 18x = 360

Solving
-38 + 18x = 360

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 18x = 360 + 38

Combine like terms: -38 + 38 = 0
0 + 18x = 360 + 38
18x = 360 + 38

Combine like terms: 360 + 38 = 398
18x = 398

Divide each side by '18'.
x = 22.11111111

Simplifying
x = 22.11111111

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