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Simplifying
1 + 3x2 + -2x = x2 + -2x + 1
Reorder the terms:
1 + -2x + 3x2 = x2 + -2x + 1
Reorder the terms:
1 + -2x + 3x2 = 1 + -2x + x2
Add '-1' to each side of the equation.
1 + -2x + -1 + 3x2 = 1 + -2x + -1 + x2
Reorder the terms:
1 + -1 + -2x + 3x2 = 1 + -2x + -1 + x2
Combine like terms: 1 + -1 = 0
0 + -2x + 3x2 = 1 + -2x + -1 + x2
-2x + 3x2 = 1 + -2x + -1 + x2
Reorder the terms:
-2x + 3x2 = 1 + -1 + -2x + x2
Combine like terms: 1 + -1 = 0
-2x + 3x2 = 0 + -2x + x2
-2x + 3x2 = -2x + x2
Add '2x' to each side of the equation.
-2x + 2x + 3x2 = -2x + 2x + x2
Combine like terms: -2x + 2x = 0
0 + 3x2 = -2x + 2x + x2
3x2 = -2x + 2x + x2
Combine like terms: -2x + 2x = 0
3x2 = 0 + x2
3x2 = x2
Solving
3x2 = x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
3x2 + -1x2 = x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
2x2 = x2 + -1x2
Combine like terms: x2 + -1x2 = 0
2x2 = 0
Divide each side by '2'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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