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Simplifying
6x2 + 1 = -8x2 + 9
Reorder the terms:
1 + 6x2 = -8x2 + 9
Reorder the terms:
1 + 6x2 = 9 + -8x2
Solving
1 + 6x2 = 9 + -8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8x2' to each side of the equation.
1 + 6x2 + 8x2 = 9 + -8x2 + 8x2
Combine like terms: 6x2 + 8x2 = 14x2
1 + 14x2 = 9 + -8x2 + 8x2
Combine like terms: -8x2 + 8x2 = 0
1 + 14x2 = 9 + 0
1 + 14x2 = 9
Add '-1' to each side of the equation.
1 + -1 + 14x2 = 9 + -1
Combine like terms: 1 + -1 = 0
0 + 14x2 = 9 + -1
14x2 = 9 + -1
Combine like terms: 9 + -1 = 8
14x2 = 8
Divide each side by '14'.
x2 = 0.5714285714
Simplifying
x2 = 0.5714285714
Take the square root of each side:
x = {-0.755928946, 0.755928946}
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