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Simplifying
(-4x + 7) + (-2x2 + 4x + 6) = 0
Reorder the terms:
(7 + -4x) + (-2x2 + 4x + 6) = 0
Remove parenthesis around (7 + -4x)
7 + -4x + (-2x2 + 4x + 6) = 0
Reorder the terms:
7 + -4x + (6 + 4x + -2x2) = 0
Remove parenthesis around (6 + 4x + -2x2)
7 + -4x + 6 + 4x + -2x2 = 0
Reorder the terms:
7 + 6 + -4x + 4x + -2x2 = 0
Combine like terms: 7 + 6 = 13
13 + -4x + 4x + -2x2 = 0
Combine like terms: -4x + 4x = 0
13 + 0 + -2x2 = 0
13 + -2x2 = 0
Solving
13 + -2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -2x2 = 0 + -13
Combine like terms: 13 + -13 = 0
0 + -2x2 = 0 + -13
-2x2 = 0 + -13
Combine like terms: 0 + -13 = -13
-2x2 = -13
Divide each side by '-2'.
x2 = 6.5
Simplifying
x2 = 6.5
Take the square root of each side:
x = {-2.549509757, 2.549509757}
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