2z^2+5=5x^2-37

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Solution for 2z^2+5=5x^2-37 equation:


Simplifying
2z2 + 5 = 5x2 + -37

Reorder the terms:
5 + 2z2 = 5x2 + -37

Reorder the terms:
5 + 2z2 = -37 + 5x2

Solving
5 + 2z2 = -37 + 5x2

Solving for variable 'z'.

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

Add '-5' to each side of the equation.
5 + -5 + 2z2 = -37 + -5 + 5x2

Combine like terms: 5 + -5 = 0
0 + 2z2 = -37 + -5 + 5x2
2z2 = -37 + -5 + 5x2

Combine like terms: -37 + -5 = -42
2z2 = -42 + 5x2

Divide each side by '2'.
z2 = -21 + 2.5x2

Simplifying
z2 = -21 + 2.5x2

Reorder the terms:
21 + -2.5x2 + z2 = -21 + 2.5x2 + 21 + -2.5x2

Reorder the terms:
21 + -2.5x2 + z2 = -21 + 21 + 2.5x2 + -2.5x2

Combine like terms: -21 + 21 = 0
21 + -2.5x2 + z2 = 0 + 2.5x2 + -2.5x2
21 + -2.5x2 + z2 = 2.5x2 + -2.5x2

Combine like terms: 2.5x2 + -2.5x2 = 0.0
21 + -2.5x2 + z2 = 0.0

The solution to this equation could not be determined.

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