a^4+6a^2-7=a^4+8a^2-9

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Solution for a^4+6a^2-7=a^4+8a^2-9 equation: 


Simplifying
a4 + 6a2 + -7 = a4 + 8a2 + -9

Reorder the terms:
-7 + 6a2 + a4 = a4 + 8a2 + -9

Reorder the terms:
-7 + 6a2 + a4 = -9 + 8a2 + a4

Add '-1a4' to each side of the equation.
-7 + 6a2 + a4 + -1a4 = -9 + 8a2 + a4 + -1a4

Combine like terms: a4 + -1a4 = 0
-7 + 6a2 + 0 = -9 + 8a2 + a4 + -1a4
-7 + 6a2 = -9 + 8a2 + a4 + -1a4

Combine like terms: a4 + -1a4 = 0
-7 + 6a2 = -9 + 8a2 + 0
-7 + 6a2 = -9 + 8a2

Solving
-7 + 6a2 = -9 + 8a2

Solving for variable 'a'.

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

Add '-8a2' to each side of the equation.
-7 + 6a2 + -8a2 = -9 + 8a2 + -8a2

Combine like terms: 6a2 + -8a2 = -2a2
-7 + -2a2 = -9 + 8a2 + -8a2

Combine like terms: 8a2 + -8a2 = 0
-7 + -2a2 = -9 + 0
-7 + -2a2 = -9

Add '7' to each side of the equation.
-7 + 7 + -2a2 = -9 + 7

Combine like terms: -7 + 7 = 0
0 + -2a2 = -9 + 7
-2a2 = -9 + 7

Combine like terms: -9 + 7 = -2
-2a2 = -2

Divide each side by '-2'.
a2 = 1

Simplifying
a2 = 1

Take the square root of each side:
a = {-1, 1}

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