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Simplifying
(3x2) + 2 = 11 + -1(x2)
Reorder the terms:
2 + (3x2) = 11 + -1(x2)
Solving
2 + (3x2) = 11 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
2 + (3x2) + x2 = 11 + -1x2 + x2
Combine like terms: (3x2) + x2 = 4x2
2 + 4x2 = 11 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
2 + 4x2 = 11 + 0
2 + 4x2 = 11
Add '-2' to each side of the equation.
2 + -2 + 4x2 = 11 + -2
Combine like terms: 2 + -2 = 0
0 + 4x2 = 11 + -2
4x2 = 11 + -2
Combine like terms: 11 + -2 = 9
4x2 = 9
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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