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Simplifying
169 + -1(256 + -1x2) = 41 + -1x2
169 + (256 * -1 + -1x2 * -1) = 41 + -1x2
169 + (-256 + 1x2) = 41 + -1x2
Combine like terms: 169 + -256 = -87
-87 + 1x2 = 41 + -1x2
Solving
-87 + 1x2 = 41 + -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.
-87 + 1x2 + x2 = 41 + -1x2 + x2
Combine like terms: 1x2 + x2 = 2x2
-87 + 2x2 = 41 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
-87 + 2x2 = 41 + 0
-87 + 2x2 = 41
Add '87' to each side of the equation.
-87 + 87 + 2x2 = 41 + 87
Combine like terms: -87 + 87 = 0
0 + 2x2 = 41 + 87
2x2 = 41 + 87
Combine like terms: 41 + 87 = 128
2x2 = 128
Divide each side by '2'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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