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Simplifying
(-7x2 + 1) + (3x2 + 7) = 0
Reorder the terms:
(1 + -7x2) + (3x2 + 7) = 0
Remove parenthesis around (1 + -7x2)
1 + -7x2 + (3x2 + 7) = 0
Reorder the terms:
1 + -7x2 + (7 + 3x2) = 0
Remove parenthesis around (7 + 3x2)
1 + -7x2 + 7 + 3x2 = 0
Reorder the terms:
1 + 7 + -7x2 + 3x2 = 0
Combine like terms: 1 + 7 = 8
8 + -7x2 + 3x2 = 0
Combine like terms: -7x2 + 3x2 = -4x2
8 + -4x2 = 0
Solving
8 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -4x2 = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -4x2 = 0 + -8
-4x2 = 0 + -8
Combine like terms: 0 + -8 = -8
-4x2 = -8
Divide each side by '-4'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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