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Simplifying
(-5x + 3) + (-2x2 + 5x + 7) = 0
Reorder the terms:
(3 + -5x) + (-2x2 + 5x + 7) = 0
Remove parenthesis around (3 + -5x)
3 + -5x + (-2x2 + 5x + 7) = 0
Reorder the terms:
3 + -5x + (7 + 5x + -2x2) = 0
Remove parenthesis around (7 + 5x + -2x2)
3 + -5x + 7 + 5x + -2x2 = 0
Reorder the terms:
3 + 7 + -5x + 5x + -2x2 = 0
Combine like terms: 3 + 7 = 10
10 + -5x + 5x + -2x2 = 0
Combine like terms: -5x + 5x = 0
10 + 0 + -2x2 = 0
10 + -2x2 = 0
Solving
10 + -2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + -2x2 = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -2x2 = 0 + -10
-2x2 = 0 + -10
Combine like terms: 0 + -10 = -10
-2x2 = -10
Divide each side by '-2'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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