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Simplifying
(-6x + 5) + (-4x2 + 6x + 3) = 0
Reorder the terms:
(5 + -6x) + (-4x2 + 6x + 3) = 0
Remove parenthesis around (5 + -6x)
5 + -6x + (-4x2 + 6x + 3) = 0
Reorder the terms:
5 + -6x + (3 + 6x + -4x2) = 0
Remove parenthesis around (3 + 6x + -4x2)
5 + -6x + 3 + 6x + -4x2 = 0
Reorder the terms:
5 + 3 + -6x + 6x + -4x2 = 0
Combine like terms: 5 + 3 = 8
8 + -6x + 6x + -4x2 = 0
Combine like terms: -6x + 6x = 0
8 + 0 + -4x2 = 0
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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