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Simplifying
4(2x2 + 5) = 412
Reorder the terms:
4(5 + 2x2) = 412
(5 * 4 + 2x2 * 4) = 412
(20 + 8x2) = 412
Solving
20 + 8x2 = 412
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 8x2 = 412 + -20
Combine like terms: 20 + -20 = 0
0 + 8x2 = 412 + -20
8x2 = 412 + -20
Combine like terms: 412 + -20 = 392
8x2 = 392
Divide each side by '8'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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