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Simplifying
x2 + (2x + 4) = 2x + 6
Reorder the terms:
x2 + (4 + 2x) = 2x + 6
Remove parenthesis around (4 + 2x)
x2 + 4 + 2x = 2x + 6
Reorder the terms:
4 + 2x + x2 = 2x + 6
Reorder the terms:
4 + 2x + x2 = 6 + 2x
Add '-2x' to each side of the equation.
4 + 2x + -2x + x2 = 6 + 2x + -2x
Combine like terms: 2x + -2x = 0
4 + 0 + x2 = 6 + 2x + -2x
4 + x2 = 6 + 2x + -2x
Combine like terms: 2x + -2x = 0
4 + x2 = 6 + 0
4 + x2 = 6
Solving
4 + x2 = 6
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 + x2 = 6 + -4
Combine like terms: 4 + -4 = 0
0 + x2 = 6 + -4
x2 = 6 + -4
Combine like terms: 6 + -4 = 2
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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