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Simplifying
2x + 1 = 3x2 + 2x
Reorder the terms:
1 + 2x = 3x2 + 2x
Reorder the terms:
1 + 2x = 2x + 3x2
Add '-2x' to each side of the equation.
1 + 2x + -2x = 2x + -2x + 3x2
Combine like terms: 2x + -2x = 0
1 + 0 = 2x + -2x + 3x2
1 = 2x + -2x + 3x2
Combine like terms: 2x + -2x = 0
1 = 0 + 3x2
1 = 3x2
Solving
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.
1 + -3x2 = 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
1 + -3x2 = 0
Add '-1' to each side of the equation.
1 + -1 + -3x2 = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -3x2 = 0 + -1
-3x2 = 0 + -1
Combine like terms: 0 + -1 = -1
-3x2 = -1
Divide each side by '-3'.
x2 = 0.3333333333
Simplifying
x2 = 0.3333333333
Take the square root of each side:
x = {-0.577350269, 0.577350269}
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