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

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


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

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

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

Multiply (-30 + x) * (-30 + x)
(-30(-30 + x) + x(-30 + x)) + (y + -9)(y + -9) + (z + -15)(z + -15) = 25
((-30 * -30 + x * -30) + x(-30 + x)) + (y + -9)(y + -9) + (z + -15)(z + -15) = 25
((900 + -30x) + x(-30 + x)) + (y + -9)(y + -9) + (z + -15)(z + -15) = 25
(900 + -30x + (-30 * x + x * x)) + (y + -9)(y + -9) + (z + -15)(z + -15) = 25
(900 + -30x + (-30x + x2)) + (y + -9)(y + -9) + (z + -15)(z + -15) = 25

Combine like terms: -30x + -30x = -60x
(900 + -60x + x2) + (y + -9)(y + -9) + (z + -15)(z + -15) = 25

Reorder the terms:
900 + -60x + x2 + (-9 + y)(y + -9) + (z + -15)(z + -15) = 25

Reorder the terms:
900 + -60x + x2 + (-9 + y)(-9 + y) + (z + -15)(z + -15) = 25

Multiply (-9 + y) * (-9 + y)
900 + -60x + x2 + (-9(-9 + y) + y(-9 + y)) + (z + -15)(z + -15) = 25
900 + -60x + x2 + ((-9 * -9 + y * -9) + y(-9 + y)) + (z + -15)(z + -15) = 25
900 + -60x + x2 + ((81 + -9y) + y(-9 + y)) + (z + -15)(z + -15) = 25
900 + -60x + x2 + (81 + -9y + (-9 * y + y * y)) + (z + -15)(z + -15) = 25
900 + -60x + x2 + (81 + -9y + (-9y + y2)) + (z + -15)(z + -15) = 25

Combine like terms: -9y + -9y = -18y
900 + -60x + x2 + (81 + -18y + y2) + (z + -15)(z + -15) = 25

Reorder the terms:
900 + -60x + x2 + 81 + -18y + y2 + (-15 + z)(z + -15) = 25

Reorder the terms:
900 + -60x + x2 + 81 + -18y + y2 + (-15 + z)(-15 + z) = 25

Multiply (-15 + z) * (-15 + z)
900 + -60x + x2 + 81 + -18y + y2 + (-15(-15 + z) + z(-15 + z)) = 25
900 + -60x + x2 + 81 + -18y + y2 + ((-15 * -15 + z * -15) + z(-15 + z)) = 25
900 + -60x + x2 + 81 + -18y + y2 + ((225 + -15z) + z(-15 + z)) = 25
900 + -60x + x2 + 81 + -18y + y2 + (225 + -15z + (-15 * z + z * z)) = 25
900 + -60x + x2 + 81 + -18y + y2 + (225 + -15z + (-15z + z2)) = 25

Combine like terms: -15z + -15z = -30z
900 + -60x + x2 + 81 + -18y + y2 + (225 + -30z + z2) = 25

Reorder the terms:
900 + 81 + 225 + -60x + x2 + -18y + y2 + -30z + z2 = 25

Combine like terms: 900 + 81 = 981
981 + 225 + -60x + x2 + -18y + y2 + -30z + z2 = 25

Combine like terms: 981 + 225 = 1206
1206 + -60x + x2 + -18y + y2 + -30z + z2 = 25

Solving
1206 + -60x + x2 + -18y + y2 + -30z + z2 = 25

Solving for variable 'x'.

Reorder the terms:
1206 + -25 + -60x + x2 + -18y + y2 + -30z + z2 = 25 + -25

Combine like terms: 1206 + -25 = 1181
1181 + -60x + x2 + -18y + y2 + -30z + z2 = 25 + -25

Combine like terms: 25 + -25 = 0
1181 + -60x + x2 + -18y + y2 + -30z + z2 = 0

The solution to this equation could not be determined.

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