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Simplifying
2x2 + 5 + 2x2 + 13 + 7 + 2x2 + -1 = 74
Reorder the terms:
5 + 13 + 7 + -1 + 2x2 + 2x2 + 2x2 = 74
Combine like terms: 5 + 13 = 18
18 + 7 + -1 + 2x2 + 2x2 + 2x2 = 74
Combine like terms: 18 + 7 = 25
25 + -1 + 2x2 + 2x2 + 2x2 = 74
Combine like terms: 25 + -1 = 24
24 + 2x2 + 2x2 + 2x2 = 74
Combine like terms: 2x2 + 2x2 = 4x2
24 + 4x2 + 2x2 = 74
Combine like terms: 4x2 + 2x2 = 6x2
24 + 6x2 = 74
Solving
24 + 6x2 = 74
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 6x2 = 74 + -24
Combine like terms: 24 + -24 = 0
0 + 6x2 = 74 + -24
6x2 = 74 + -24
Combine like terms: 74 + -24 = 50
6x2 = 50
Divide each side by '6'.
x2 = 8.333333333
Simplifying
x2 = 8.333333333
Take the square root of each side:
x = {-2.886751346, 2.886751346}
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