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