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Simplifying
6x2 + -8 = 1 + -3x2
Reorder the terms:
-8 + 6x2 = 1 + -3x2
Solving
-8 + 6x2 = 1 + -3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x2' to each side of the equation.
-8 + 6x2 + 3x2 = 1 + -3x2 + 3x2
Combine like terms: 6x2 + 3x2 = 9x2
-8 + 9x2 = 1 + -3x2 + 3x2
Combine like terms: -3x2 + 3x2 = 0
-8 + 9x2 = 1 + 0
-8 + 9x2 = 1
Add '8' to each side of the equation.
-8 + 8 + 9x2 = 1 + 8
Combine like terms: -8 + 8 = 0
0 + 9x2 = 1 + 8
9x2 = 1 + 8
Combine like terms: 1 + 8 = 9
9x2 = 9
Divide each side by '9'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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