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Simplifying
8x2 + 11 = 191 + 3x2
Reorder the terms:
11 + 8x2 = 191 + 3x2
Solving
11 + 8x2 = 191 + 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.
11 + 8x2 + -3x2 = 191 + 3x2 + -3x2
Combine like terms: 8x2 + -3x2 = 5x2
11 + 5x2 = 191 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
11 + 5x2 = 191 + 0
11 + 5x2 = 191
Add '-11' to each side of the equation.
11 + -11 + 5x2 = 191 + -11
Combine like terms: 11 + -11 = 0
0 + 5x2 = 191 + -11
5x2 = 191 + -11
Combine like terms: 191 + -11 = 180
5x2 = 180
Divide each side by '5'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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