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Simplifying
3x2 + 2x2 + -40 = 16 + -2x2
Reorder the terms:
-40 + 3x2 + 2x2 = 16 + -2x2
Combine like terms: 3x2 + 2x2 = 5x2
-40 + 5x2 = 16 + -2x2
Solving
-40 + 5x2 = 16 + -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
-40 + 5x2 + 2x2 = 16 + -2x2 + 2x2
Combine like terms: 5x2 + 2x2 = 7x2
-40 + 7x2 = 16 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
-40 + 7x2 = 16 + 0
-40 + 7x2 = 16
Add '40' to each side of the equation.
-40 + 40 + 7x2 = 16 + 40
Combine like terms: -40 + 40 = 0
0 + 7x2 = 16 + 40
7x2 = 16 + 40
Combine like terms: 16 + 40 = 56
7x2 = 56
Divide each side by '7'.
x2 = 8
Simplifying
x2 = 8
Take the square root of each side:
x = {-2.828427125, 2.828427125}
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