(x-30)2+(y-9)2+(z-15)2=25

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Solution for (x-30)2+(y-9)2+(z-15)2=25 equation:


Simplifying
(x + -30) * 2 + (y + -9) * 2 + (z + -15) * 2 = 25

Reorder the terms:
(-30 + x) * 2 + (y + -9) * 2 + (z + -15) * 2 = 25

Reorder the terms for easier multiplication:
2(-30 + x) + (y + -9) * 2 + (z + -15) * 2 = 25
(-30 * 2 + x * 2) + (y + -9) * 2 + (z + -15) * 2 = 25
(-60 + 2x) + (y + -9) * 2 + (z + -15) * 2 = 25

Reorder the terms:
-60 + 2x + (-9 + y) * 2 + (z + -15) * 2 = 25

Reorder the terms for easier multiplication:
-60 + 2x + 2(-9 + y) + (z + -15) * 2 = 25
-60 + 2x + (-9 * 2 + y * 2) + (z + -15) * 2 = 25
-60 + 2x + (-18 + 2y) + (z + -15) * 2 = 25

Reorder the terms:
-60 + 2x + -18 + 2y + (-15 + z) * 2 = 25

Reorder the terms for easier multiplication:
-60 + 2x + -18 + 2y + 2(-15 + z) = 25
-60 + 2x + -18 + 2y + (-15 * 2 + z * 2) = 25
-60 + 2x + -18 + 2y + (-30 + 2z) = 25

Reorder the terms:
-60 + -18 + -30 + 2x + 2y + 2z = 25

Combine like terms: -60 + -18 = -78
-78 + -30 + 2x + 2y + 2z = 25

Combine like terms: -78 + -30 = -108
-108 + 2x + 2y + 2z = 25

Solving
-108 + 2x + 2y + 2z = 25

Solving for variable 'x'.

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

Add '108' to each side of the equation.
-108 + 2x + 2y + 108 + 2z = 25 + 108

Reorder the terms:
-108 + 108 + 2x + 2y + 2z = 25 + 108

Combine like terms: -108 + 108 = 0
0 + 2x + 2y + 2z = 25 + 108
2x + 2y + 2z = 25 + 108

Combine like terms: 25 + 108 = 133
2x + 2y + 2z = 133

Add '-2y' to each side of the equation.
2x + 2y + -2y + 2z = 133 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 + 2z = 133 + -2y
2x + 2z = 133 + -2y

Add '-2z' to each side of the equation.
2x + 2z + -2z = 133 + -2y + -2z

Combine like terms: 2z + -2z = 0
2x + 0 = 133 + -2y + -2z
2x = 133 + -2y + -2z

Divide each side by '2'.
x = 66.5 + -1y + -1z

Simplifying
x = 66.5 + -1y + -1z

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