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Simplifying
11.95 = x * 0.2x
Reorder the terms for easier multiplication:
11.95 = 0.2x * x
Multiply x * x
11.95 = 0.2x2
Solving
11.95 = 0.2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.2x2' to each side of the equation.
11.95 + -0.2x2 = 0.2x2 + -0.2x2
Combine like terms: 0.2x2 + -0.2x2 = 0.0
11.95 + -0.2x2 = 0.0
Add '-11.95' to each side of the equation.
11.95 + -11.95 + -0.2x2 = 0.0 + -11.95
Combine like terms: 11.95 + -11.95 = 0.00
0.00 + -0.2x2 = 0.0 + -11.95
-0.2x2 = 0.0 + -11.95
Combine like terms: 0.0 + -11.95 = -11.95
-0.2x2 = -11.95
Divide each side by '-0.2'.
x2 = 59.75
Simplifying
x2 = 59.75
Take the square root of each side:
x = {-7.729812417, 7.729812417}
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