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Simplifying
4x2 + 20 = 2x2 + 200
Reorder the terms:
20 + 4x2 = 2x2 + 200
Reorder the terms:
20 + 4x2 = 200 + 2x2
Solving
20 + 4x2 = 200 + 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.
20 + 4x2 + -2x2 = 200 + 2x2 + -2x2
Combine like terms: 4x2 + -2x2 = 2x2
20 + 2x2 = 200 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
20 + 2x2 = 200 + 0
20 + 2x2 = 200
Add '-20' to each side of the equation.
20 + -20 + 2x2 = 200 + -20
Combine like terms: 20 + -20 = 0
0 + 2x2 = 200 + -20
2x2 = 200 + -20
Combine like terms: 200 + -20 = 180
2x2 = 180
Divide each side by '2'.
x2 = 90
Simplifying
x2 = 90
Take the square root of each side:
x = {-9.486832981, 9.486832981}
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