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Simplifying
6x2 + -8 = 5x2 + 8
Reorder the terms:
-8 + 6x2 = 5x2 + 8
Reorder the terms:
-8 + 6x2 = 8 + 5x2
Solving
-8 + 6x2 = 8 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
-8 + 6x2 + -5x2 = 8 + 5x2 + -5x2
Combine like terms: 6x2 + -5x2 = 1x2
-8 + 1x2 = 8 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
-8 + 1x2 = 8 + 0
-8 + 1x2 = 8
Add '8' to each side of the equation.
-8 + 8 + 1x2 = 8 + 8
Combine like terms: -8 + 8 = 0
0 + 1x2 = 8 + 8
1x2 = 8 + 8
Combine like terms: 8 + 8 = 16
1x2 = 16
Divide each side by '1'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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