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Simplifying
14x2 + 5 + [7(x2 + -2) + 4] = 0
Reorder the terms:
14x2 + 5 + [7(-2 + x2) + 4] = 0
14x2 + 5 + [(-2 * 7 + x2 * 7) + 4] = 0
14x2 + 5 + [(-14 + 7x2) + 4] = 0
Reorder the terms:
14x2 + 5 + [-14 + 4 + 7x2] = 0
Combine like terms: -14 + 4 = -10
14x2 + 5 + [-10 + 7x2] = 0
Remove brackets around [-10 + 7x2]
14x2 + 5 + -10 + 7x2 = 0
Reorder the terms:
5 + -10 + 14x2 + 7x2 = 0
Combine like terms: 5 + -10 = -5
-5 + 14x2 + 7x2 = 0
Combine like terms: 14x2 + 7x2 = 21x2
-5 + 21x2 = 0
Solving
-5 + 21x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 21x2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 21x2 = 0 + 5
21x2 = 0 + 5
Combine like terms: 0 + 5 = 5
21x2 = 5
Divide each side by '21'.
x2 = 0.2380952381
Simplifying
x2 = 0.2380952381
Take the square root of each side:
x = {-0.487950036, 0.487950036}
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