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Simplifying
(5X2 + 8) + -1(7X2 + -11) = 0
Reorder the terms:
(8 + 5X2) + -1(7X2 + -11) = 0
Remove parenthesis around (8 + 5X2)
8 + 5X2 + -1(7X2 + -11) = 0
Reorder the terms:
8 + 5X2 + -1(-11 + 7X2) = 0
8 + 5X2 + (-11 * -1 + 7X2 * -1) = 0
8 + 5X2 + (11 + -7X2) = 0
Reorder the terms:
8 + 11 + 5X2 + -7X2 = 0
Combine like terms: 8 + 11 = 19
19 + 5X2 + -7X2 = 0
Combine like terms: 5X2 + -7X2 = -2X2
19 + -2X2 = 0
Solving
19 + -2X2 = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-19' to each side of the equation.
19 + -19 + -2X2 = 0 + -19
Combine like terms: 19 + -19 = 0
0 + -2X2 = 0 + -19
-2X2 = 0 + -19
Combine like terms: 0 + -19 = -19
-2X2 = -19
Divide each side by '-2'.
X2 = 9.5
Simplifying
X2 = 9.5
Take the square root of each side:
X = {-3.082207001, 3.082207001}
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