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Simplifying
(-7x2 + 5) + (3x2 + 7) = 0
Reorder the terms:
(5 + -7x2) + (3x2 + 7) = 0
Remove parenthesis around (5 + -7x2)
5 + -7x2 + (3x2 + 7) = 0
Reorder the terms:
5 + -7x2 + (7 + 3x2) = 0
Remove parenthesis around (7 + 3x2)
5 + -7x2 + 7 + 3x2 = 0
Reorder the terms:
5 + 7 + -7x2 + 3x2 = 0
Combine like terms: 5 + 7 = 12
12 + -7x2 + 3x2 = 0
Combine like terms: -7x2 + 3x2 = -4x2
12 + -4x2 = 0
Solving
12 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + -4x2 = 0 + -12
Combine like terms: 12 + -12 = 0
0 + -4x2 = 0 + -12
-4x2 = 0 + -12
Combine like terms: 0 + -12 = -12
-4x2 = -12
Divide each side by '-4'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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