(y^2+2)+7(y^2+2)+10=0

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Solution for (y^2+2)+7(y^2+2)+10=0 equation:


Simplifying
(y2 + 2) + 7(y2 + 2) + 10 = 0

Reorder the terms:
(2 + y2) + 7(y2 + 2) + 10 = 0

Remove parenthesis around (2 + y2)
2 + y2 + 7(y2 + 2) + 10 = 0

Reorder the terms:
2 + y2 + 7(2 + y2) + 10 = 0
2 + y2 + (2 * 7 + y2 * 7) + 10 = 0
2 + y2 + (14 + 7y2) + 10 = 0

Reorder the terms:
2 + 14 + 10 + y2 + 7y2 = 0

Combine like terms: 2 + 14 = 16
16 + 10 + y2 + 7y2 = 0

Combine like terms: 16 + 10 = 26
26 + y2 + 7y2 = 0

Combine like terms: y2 + 7y2 = 8y2
26 + 8y2 = 0

Solving
26 + 8y2 = 0

Solving for variable 'y'.

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

Add '-26' to each side of the equation.
26 + -26 + 8y2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 8y2 = 0 + -26
8y2 = 0 + -26

Combine like terms: 0 + -26 = -26
8y2 = -26

Divide each side by '8'.
y2 = -3.25

Simplifying
y2 = -3.25

Reorder the terms:
3.25 + y2 = -3.25 + 3.25

Combine like terms: -3.25 + 3.25 = 0.00
3.25 + y2 = 0.00

The solution to this equation could not be determined.

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