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Simplifying
2x2 + 6x + -6x + -7 + 3 = 0
Reorder the terms:
-7 + 3 + 6x + -6x + 2x2 = 0
Combine like terms: -7 + 3 = -4
-4 + 6x + -6x + 2x2 = 0
Combine like terms: 6x + -6x = 0
-4 + 0 + 2x2 = 0
-4 + 2x2 = 0
Solving
-4 + 2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2x2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 2x2 = 0 + 4
2x2 = 0 + 4
Combine like terms: 0 + 4 = 4
2x2 = 4
Divide each side by '2'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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