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Simplifying
14400 = 200(10x2 + 0.5)
Reorder the terms:
14400 = 200(0.5 + 10x2)
14400 = (0.5 * 200 + 10x2 * 200)
14400 = (100 + 2000x2)
Solving
14400 = 100 + 2000x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2000x2' to each side of the equation.
14400 + -2000x2 = 100 + 2000x2 + -2000x2
Combine like terms: 2000x2 + -2000x2 = 0
14400 + -2000x2 = 100 + 0
14400 + -2000x2 = 100
Add '-14400' to each side of the equation.
14400 + -14400 + -2000x2 = 100 + -14400
Combine like terms: 14400 + -14400 = 0
0 + -2000x2 = 100 + -14400
-2000x2 = 100 + -14400
Combine like terms: 100 + -14400 = -14300
-2000x2 = -14300
Divide each side by '-2000'.
x2 = 7.15
Simplifying
x2 = 7.15
Take the square root of each side:
x = {-2.673948391, 2.673948391}
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