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Simplifying
11 + x2 = 4x2 + 5
Reorder the terms:
11 + x2 = 5 + 4x2
Solving
11 + x2 = 5 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
11 + x2 + -4x2 = 5 + 4x2 + -4x2
Combine like terms: x2 + -4x2 = -3x2
11 + -3x2 = 5 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
11 + -3x2 = 5 + 0
11 + -3x2 = 5
Add '-11' to each side of the equation.
11 + -11 + -3x2 = 5 + -11
Combine like terms: 11 + -11 = 0
0 + -3x2 = 5 + -11
-3x2 = 5 + -11
Combine like terms: 5 + -11 = -6
-3x2 = -6
Divide each side by '-3'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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