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Simplifying
8x2 + 19 = 54 + 3x2
Reorder the terms:
19 + 8x2 = 54 + 3x2
Solving
19 + 8x2 = 54 + 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.
19 + 8x2 + -3x2 = 54 + 3x2 + -3x2
Combine like terms: 8x2 + -3x2 = 5x2
19 + 5x2 = 54 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
19 + 5x2 = 54 + 0
19 + 5x2 = 54
Add '-19' to each side of the equation.
19 + -19 + 5x2 = 54 + -19
Combine like terms: 19 + -19 = 0
0 + 5x2 = 54 + -19
5x2 = 54 + -19
Combine like terms: 54 + -19 = 35
5x2 = 35
Divide each side by '5'.
x2 = 7
Simplifying
x2 = 7
Take the square root of each side:
x = {-2.645751311, 2.645751311}
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