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Simplifying
(3x2 + -5) + (7x2 + -3) = 0
Reorder the terms:
(-5 + 3x2) + (7x2 + -3) = 0
Remove parenthesis around (-5 + 3x2)
-5 + 3x2 + (7x2 + -3) = 0
Reorder the terms:
-5 + 3x2 + (-3 + 7x2) = 0
Remove parenthesis around (-3 + 7x2)
-5 + 3x2 + -3 + 7x2 = 0
Reorder the terms:
-5 + -3 + 3x2 + 7x2 = 0
Combine like terms: -5 + -3 = -8
-8 + 3x2 + 7x2 = 0
Combine like terms: 3x2 + 7x2 = 10x2
-8 + 10x2 = 0
Solving
-8 + 10x2 = 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 + 10x2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 10x2 = 0 + 8
10x2 = 0 + 8
Combine like terms: 0 + 8 = 8
10x2 = 8
Divide each side by '10'.
x2 = 0.8
Simplifying
x2 = 0.8
Take the square root of each side:
x = {-0.894427191, 0.894427191}
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