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Simplifying
14 + -1x2 = 3x2 + 6
Reorder the terms:
14 + -1x2 = 6 + 3x2
Solving
14 + -1x2 = 6 + 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.
14 + -1x2 + -3x2 = 6 + 3x2 + -3x2
Combine like terms: -1x2 + -3x2 = -4x2
14 + -4x2 = 6 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
14 + -4x2 = 6 + 0
14 + -4x2 = 6
Add '-14' to each side of the equation.
14 + -14 + -4x2 = 6 + -14
Combine like terms: 14 + -14 = 0
0 + -4x2 = 6 + -14
-4x2 = 6 + -14
Combine like terms: 6 + -14 = -8
-4x2 = -8
Divide each side by '-4'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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