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Simplifying
(-5x + 3) + (-2x2 + 5x + 5) = 0
Reorder the terms:
(3 + -5x) + (-2x2 + 5x + 5) = 0
Remove parenthesis around (3 + -5x)
3 + -5x + (-2x2 + 5x + 5) = 0
Reorder the terms:
3 + -5x + (5 + 5x + -2x2) = 0
Remove parenthesis around (5 + 5x + -2x2)
3 + -5x + 5 + 5x + -2x2 = 0
Reorder the terms:
3 + 5 + -5x + 5x + -2x2 = 0
Combine like terms: 3 + 5 = 8
8 + -5x + 5x + -2x2 = 0
Combine like terms: -5x + 5x = 0
8 + 0 + -2x2 = 0
8 + -2x2 = 0
Solving
8 + -2x2 = 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 + -2x2 = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -2x2 = 0 + -8
-2x2 = 0 + -8
Combine like terms: 0 + -8 = -8
-2x2 = -8
Divide each side by '-2'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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