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Simplifying
-1x2 + 4 = 3x2 + 1
Reorder the terms:
4 + -1x2 = 3x2 + 1
Reorder the terms:
4 + -1x2 = 1 + 3x2
Solving
4 + -1x2 = 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.
4 + -1x2 + -3x2 = 1 + 3x2 + -3x2
Combine like terms: -1x2 + -3x2 = -4x2
4 + -4x2 = 1 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
4 + -4x2 = 1 + 0
4 + -4x2 = 1
Add '-4' to each side of the equation.
4 + -4 + -4x2 = 1 + -4
Combine like terms: 4 + -4 = 0
0 + -4x2 = 1 + -4
-4x2 = 1 + -4
Combine like terms: 1 + -4 = -3
-4x2 = -3
Divide each side by '-4'.
x2 = 0.75
Simplifying
x2 = 0.75
Take the square root of each side:
x = {-0.866025404, 0.866025404}
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