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Simplifying
(-4x + 5) + (-3x2 + 4x + 4) = 0
Reorder the terms:
(5 + -4x) + (-3x2 + 4x + 4) = 0
Remove parenthesis around (5 + -4x)
5 + -4x + (-3x2 + 4x + 4) = 0
Reorder the terms:
5 + -4x + (4 + 4x + -3x2) = 0
Remove parenthesis around (4 + 4x + -3x2)
5 + -4x + 4 + 4x + -3x2 = 0
Reorder the terms:
5 + 4 + -4x + 4x + -3x2 = 0
Combine like terms: 5 + 4 = 9
9 + -4x + 4x + -3x2 = 0
Combine like terms: -4x + 4x = 0
9 + 0 + -3x2 = 0
9 + -3x2 = 0
Solving
9 + -3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -3x2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -3x2 = 0 + -9
-3x2 = 0 + -9
Combine like terms: 0 + -9 = -9
-3x2 = -9
Divide each side by '-3'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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