5a^2-16=4a^2-7

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Solution for 5a^2-16=4a^2-7 equation: 


Simplifying
5a2 + -16 = 4a2 + -7

Reorder the terms:
-16 + 5a2 = 4a2 + -7

Reorder the terms:
-16 + 5a2 = -7 + 4a2

Solving
-16 + 5a2 = -7 + 4a2

Solving for variable 'a'.

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

Add '-4a2' to each side of the equation.
-16 + 5a2 + -4a2 = -7 + 4a2 + -4a2

Combine like terms: 5a2 + -4a2 = 1a2
-16 + 1a2 = -7 + 4a2 + -4a2

Combine like terms: 4a2 + -4a2 = 0
-16 + 1a2 = -7 + 0
-16 + 1a2 = -7

Add '16' to each side of the equation.
-16 + 16 + 1a2 = -7 + 16

Combine like terms: -16 + 16 = 0
0 + 1a2 = -7 + 16
1a2 = -7 + 16

Combine like terms: -7 + 16 = 9
1a2 = 9

Divide each side by '1'.
a2 = 9

Simplifying
a2 = 9

Take the square root of each side:
a = {-3, 3}

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