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Simplifying
50 = x(x * 0.16)
Reorder the terms for easier multiplication:
50 = x(0.16x)
Remove parenthesis around (0.16x)
50 = x * 0.16x
Reorder the terms for easier multiplication:
50 = 0.16x * x
Multiply x * x
50 = 0.16x2
Solving
50 = 0.16x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.16x2' to each side of the equation.
50 + -0.16x2 = 0.16x2 + -0.16x2
Combine like terms: 0.16x2 + -0.16x2 = 0.00
50 + -0.16x2 = 0.00
Add '-50' to each side of the equation.
50 + -50 + -0.16x2 = 0.00 + -50
Combine like terms: 50 + -50 = 0
0 + -0.16x2 = 0.00 + -50
-0.16x2 = 0.00 + -50
Combine like terms: 0.00 + -50 = -50
-0.16x2 = -50
Divide each side by '-0.16'.
x2 = 312.5
Simplifying
x2 = 312.5
Take the square root of each side:
x = {-17.67766953, 17.67766953}
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