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Simplifying
9(19 + 4x2) + 16x2 = 275
(19 * 9 + 4x2 * 9) + 16x2 = 275
(171 + 36x2) + 16x2 = 275
Combine like terms: 36x2 + 16x2 = 52x2
171 + 52x2 = 275
Solving
171 + 52x2 = 275
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-171' to each side of the equation.
171 + -171 + 52x2 = 275 + -171
Combine like terms: 171 + -171 = 0
0 + 52x2 = 275 + -171
52x2 = 275 + -171
Combine like terms: 275 + -171 = 104
52x2 = 104
Divide each side by '52'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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