(3x^2-3yz+5)-(4x^2-6z)+(10yz-2)=

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Solution for (3x^2-3yz+5)-(4x^2-6z)+(10yz-2)= equation:


Simplifying
(3x2 + -3yz + 5) + -1(4x2 + -6z) + (10yz + -2) = 0

Reorder the terms:
(5 + 3x2 + -3yz) + -1(4x2 + -6z) + (10yz + -2) = 0

Remove parenthesis around (5 + 3x2 + -3yz)
5 + 3x2 + -3yz + -1(4x2 + -6z) + (10yz + -2) = 0
5 + 3x2 + -3yz + (4x2 * -1 + -6z * -1) + (10yz + -2) = 0
5 + 3x2 + -3yz + (-4x2 + 6z) + (10yz + -2) = 0

Reorder the terms:
5 + 3x2 + -3yz + -4x2 + 6z + (-2 + 10yz) = 0

Remove parenthesis around (-2 + 10yz)
5 + 3x2 + -3yz + -4x2 + 6z + -2 + 10yz = 0

Reorder the terms:
5 + -2 + 3x2 + -4x2 + -3yz + 10yz + 6z = 0

Combine like terms: 5 + -2 = 3
3 + 3x2 + -4x2 + -3yz + 10yz + 6z = 0

Combine like terms: 3x2 + -4x2 = -1x2
3 + -1x2 + -3yz + 10yz + 6z = 0

Combine like terms: -3yz + 10yz = 7yz
3 + -1x2 + 7yz + 6z = 0

Solving
3 + -1x2 + 7yz + 6z = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -1x2 + 7yz + -3 + 6z = 0 + -3

Reorder the terms:
3 + -3 + -1x2 + 7yz + 6z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 + 7yz + 6z = 0 + -3
-1x2 + 7yz + 6z = 0 + -3

Combine like terms: 0 + -3 = -3
-1x2 + 7yz + 6z = -3

Add '-7yz' to each side of the equation.
-1x2 + 7yz + -7yz + 6z = -3 + -7yz

Combine like terms: 7yz + -7yz = 0
-1x2 + 0 + 6z = -3 + -7yz
-1x2 + 6z = -3 + -7yz

Add '-6z' to each side of the equation.
-1x2 + 6z + -6z = -3 + -7yz + -6z

Combine like terms: 6z + -6z = 0
-1x2 + 0 = -3 + -7yz + -6z
-1x2 = -3 + -7yz + -6z

Divide each side by '-1'.
x2 = 3 + 7yz + 6z

Simplifying
x2 = 3 + 7yz + 6z

Reorder the terms:
-3 + x2 + -7yz + -6z = 3 + 7yz + 6z + -3 + -7yz + -6z

Reorder the terms:
-3 + x2 + -7yz + -6z = 3 + -3 + 7yz + -7yz + 6z + -6z

Combine like terms: 3 + -3 = 0
-3 + x2 + -7yz + -6z = 0 + 7yz + -7yz + 6z + -6z
-3 + x2 + -7yz + -6z = 7yz + -7yz + 6z + -6z

Combine like terms: 7yz + -7yz = 0
-3 + x2 + -7yz + -6z = 0 + 6z + -6z
-3 + x2 + -7yz + -6z = 6z + -6z

Combine like terms: 6z + -6z = 0
-3 + x2 + -7yz + -6z = 0

The solution to this equation could not be determined.

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