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Simplifying
8x2 = 6x2 + 38
Reorder the terms:
8x2 = 38 + 6x2
Solving
8x2 = 38 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
8x2 + -6x2 = 38 + 6x2 + -6x2
Combine like terms: 8x2 + -6x2 = 2x2
2x2 = 38 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
2x2 = 38 + 0
2x2 = 38
Divide each side by '2'.
x2 = 19
Simplifying
x2 = 19
Take the square root of each side:
x = {-4.358898944, 4.358898944}
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