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Simplifying
3(x2 + 4) + 4 = 52
Reorder the terms:
3(4 + x2) + 4 = 52
(4 * 3 + x2 * 3) + 4 = 52
(12 + 3x2) + 4 = 52
Reorder the terms:
12 + 4 + 3x2 = 52
Combine like terms: 12 + 4 = 16
16 + 3x2 = 52
Solving
16 + 3x2 = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 3x2 = 52 + -16
Combine like terms: 16 + -16 = 0
0 + 3x2 = 52 + -16
3x2 = 52 + -16
Combine like terms: 52 + -16 = 36
3x2 = 36
Divide each side by '3'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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