(3z^2+z-4)+(2x^2+2z-3)=

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Solution for (3z^2+z-4)+(2x^2+2z-3)= equation:


Simplifying
(3z2 + z + -4) + (2x2 + 2z + -3) = 0

Reorder the terms:
(-4 + z + 3z2) + (2x2 + 2z + -3) = 0

Remove parenthesis around (-4 + z + 3z2)
-4 + z + 3z2 + (2x2 + 2z + -3) = 0

Reorder the terms:
-4 + z + 3z2 + (-3 + 2x2 + 2z) = 0

Remove parenthesis around (-3 + 2x2 + 2z)
-4 + z + 3z2 + -3 + 2x2 + 2z = 0

Reorder the terms:
-4 + -3 + 2x2 + z + 2z + 3z2 = 0

Combine like terms: -4 + -3 = -7
-7 + 2x2 + z + 2z + 3z2 = 0

Combine like terms: z + 2z = 3z
-7 + 2x2 + 3z + 3z2 = 0

Solving
-7 + 2x2 + 3z + 3z2 = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 2x2 + 3z + 7 + 3z2 = 0 + 7

Reorder the terms:
-7 + 7 + 2x2 + 3z + 3z2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x2 + 3z + 3z2 = 0 + 7
2x2 + 3z + 3z2 = 0 + 7

Combine like terms: 0 + 7 = 7
2x2 + 3z + 3z2 = 7

Add '-3z' to each side of the equation.
2x2 + 3z + -3z + 3z2 = 7 + -3z

Combine like terms: 3z + -3z = 0
2x2 + 0 + 3z2 = 7 + -3z
2x2 + 3z2 = 7 + -3z

Add '-3z2' to each side of the equation.
2x2 + 3z2 + -3z2 = 7 + -3z + -3z2

Combine like terms: 3z2 + -3z2 = 0
2x2 + 0 = 7 + -3z + -3z2
2x2 = 7 + -3z + -3z2

Divide each side by '2'.
x2 = 3.5 + -1.5z + -1.5z2

Simplifying
x2 = 3.5 + -1.5z + -1.5z2

Reorder the terms:
-3.5 + x2 + 1.5z + 1.5z2 = 3.5 + -1.5z + -1.5z2 + -3.5 + 1.5z + 1.5z2

Reorder the terms:
-3.5 + x2 + 1.5z + 1.5z2 = 3.5 + -3.5 + -1.5z + 1.5z + -1.5z2 + 1.5z2

Combine like terms: 3.5 + -3.5 = 0.0
-3.5 + x2 + 1.5z + 1.5z2 = 0.0 + -1.5z + 1.5z + -1.5z2 + 1.5z2
-3.5 + x2 + 1.5z + 1.5z2 = -1.5z + 1.5z + -1.5z2 + 1.5z2

Combine like terms: -1.5z + 1.5z = 0.0
-3.5 + x2 + 1.5z + 1.5z2 = 0.0 + -1.5z2 + 1.5z2
-3.5 + x2 + 1.5z + 1.5z2 = -1.5z2 + 1.5z2

Combine like terms: -1.5z2 + 1.5z2 = 0.0
-3.5 + x2 + 1.5z + 1.5z2 = 0.0

The solution to this equation could not be determined.

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