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Simplifying
(3x2 + 6x + -5) + (4x2 + -6x + -1) = 0
Reorder the terms:
(-5 + 6x + 3x2) + (4x2 + -6x + -1) = 0
Remove parenthesis around (-5 + 6x + 3x2)
-5 + 6x + 3x2 + (4x2 + -6x + -1) = 0
Reorder the terms:
-5 + 6x + 3x2 + (-1 + -6x + 4x2) = 0
Remove parenthesis around (-1 + -6x + 4x2)
-5 + 6x + 3x2 + -1 + -6x + 4x2 = 0
Reorder the terms:
-5 + -1 + 6x + -6x + 3x2 + 4x2 = 0
Combine like terms: -5 + -1 = -6
-6 + 6x + -6x + 3x2 + 4x2 = 0
Combine like terms: 6x + -6x = 0
-6 + 0 + 3x2 + 4x2 = 0
-6 + 3x2 + 4x2 = 0
Combine like terms: 3x2 + 4x2 = 7x2
-6 + 7x2 = 0
Solving
-6 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 7x2 = 0 + 6
Combine like terms: -6 + 6 = 0
0 + 7x2 = 0 + 6
7x2 = 0 + 6
Combine like terms: 0 + 6 = 6
7x2 = 6
Divide each side by '7'.
x2 = 0.8571428571
Simplifying
x2 = 0.8571428571
Take the square root of each side:
x = {-0.9258201, 0.9258201}
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