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Simplifying
5x2 + -1 = 3x2 + 11
Reorder the terms:
-1 + 5x2 = 3x2 + 11
Reorder the terms:
-1 + 5x2 = 11 + 3x2
Solving
-1 + 5x2 = 11 + 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 + 5x2 + -3x2 = 11 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
-1 + 2x2 = 11 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-1 + 2x2 = 11 + 0
-1 + 2x2 = 11
Add '1' to each side of the equation.
-1 + 1 + 2x2 = 11 + 1
Combine like terms: -1 + 1 = 0
0 + 2x2 = 11 + 1
2x2 = 11 + 1
Combine like terms: 11 + 1 = 12
2x2 = 12
Divide each side by '2'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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