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Simplifying
3x2 + -200 = -1x2 + -20
Reorder the terms:
-200 + 3x2 = -1x2 + -20
Reorder the terms:
-200 + 3x2 = -20 + -1x2
Solving
-200 + 3x2 = -20 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
-200 + 3x2 + x2 = -20 + -1x2 + x2
Combine like terms: 3x2 + x2 = 4x2
-200 + 4x2 = -20 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
-200 + 4x2 = -20 + 0
-200 + 4x2 = -20
Add '200' to each side of the equation.
-200 + 200 + 4x2 = -20 + 200
Combine like terms: -200 + 200 = 0
0 + 4x2 = -20 + 200
4x2 = -20 + 200
Combine like terms: -20 + 200 = 180
4x2 = 180
Divide each side by '4'.
x2 = 45
Simplifying
x2 = 45
Take the square root of each side:
x = {-6.708203933, 6.708203933}
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