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Simplifying
15025 = 45.5x2 + 6100
Reorder the terms:
15025 = 6100 + 45.5x2
Solving
15025 = 6100 + 45.5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-45.5x2' to each side of the equation.
15025 + -45.5x2 = 6100 + 45.5x2 + -45.5x2
Combine like terms: 45.5x2 + -45.5x2 = 0.0
15025 + -45.5x2 = 6100 + 0.0
15025 + -45.5x2 = 6100
Add '-15025' to each side of the equation.
15025 + -15025 + -45.5x2 = 6100 + -15025
Combine like terms: 15025 + -15025 = 0
0 + -45.5x2 = 6100 + -15025
-45.5x2 = 6100 + -15025
Combine like terms: 6100 + -15025 = -8925
-45.5x2 = -8925
Divide each side by '-45.5'.
x2 = 196.1538462
Simplifying
x2 = 196.1538462
Take the square root of each side:
x = {-14.005493429, 14.005493429}
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