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Simplifying
6x2 + -12 + 10x2 + 16 = 256
Reorder the terms:
-12 + 16 + 6x2 + 10x2 = 256
Combine like terms: -12 + 16 = 4
4 + 6x2 + 10x2 = 256
Combine like terms: 6x2 + 10x2 = 16x2
4 + 16x2 = 256
Solving
4 + 16x2 = 256
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 16x2 = 256 + -4
Combine like terms: 4 + -4 = 0
0 + 16x2 = 256 + -4
16x2 = 256 + -4
Combine like terms: 256 + -4 = 252
16x2 = 252
Divide each side by '16'.
x2 = 15.75
Simplifying
x2 = 15.75
Take the square root of each side:
x = {-3.968626967, 3.968626967}
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