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Simplifying
7x2 + 16 + -40 = 0
Reorder the terms:
16 + -40 + 7x2 = 0
Combine like terms: 16 + -40 = -24
-24 + 7x2 = 0
Solving
-24 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 7x2 = 0 + 24
Combine like terms: -24 + 24 = 0
0 + 7x2 = 0 + 24
7x2 = 0 + 24
Combine like terms: 0 + 24 = 24
7x2 = 24
Divide each side by '7'.
x2 = 3.428571429
Simplifying
x2 = 3.428571429
Take the square root of each side:
x = {-1.8516402, 1.8516402}
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