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Simplifying
24 = x * 2x + -1
Reorder the terms for easier multiplication:
24 = 2x * x + -1
Multiply x * x
24 = 2x2 + -1
Reorder the terms:
24 = -1 + 2x2
Solving
24 = -1 + 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.
24 + -2x2 = -1 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
24 + -2x2 = -1 + 0
24 + -2x2 = -1
Add '-24' to each side of the equation.
24 + -24 + -2x2 = -1 + -24
Combine like terms: 24 + -24 = 0
0 + -2x2 = -1 + -24
-2x2 = -1 + -24
Combine like terms: -1 + -24 = -25
-2x2 = -25
Divide each side by '-2'.
x2 = 12.5
Simplifying
x2 = 12.5
Take the square root of each side:
x = {-3.535533906, 3.535533906}
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