.25x^2+.5X-3.75=0

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Solution for .25x^2+.5X-3.75=0 equation: 


Simplifying
0.25x2 + 0.5X + -3.75 = 0

Reorder the terms:
-3.75 + 0.5X + 0.25x2 = 0

Solving
-3.75 + 0.5X + 0.25x2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '3.75' to each side of the equation.
-3.75 + 0.5X + 3.75 + 0.25x2 = 0 + 3.75

Reorder the terms:
-3.75 + 3.75 + 0.5X + 0.25x2 = 0 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + 0.5X + 0.25x2 = 0 + 3.75
0.5X + 0.25x2 = 0 + 3.75

Combine like terms: 0 + 3.75 = 3.75
0.5X + 0.25x2 = 3.75

Add '-0.25x2' to each side of the equation.
0.5X + 0.25x2 + -0.25x2 = 3.75 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
0.5X + 0.00 = 3.75 + -0.25x2
0.5X = 3.75 + -0.25x2

Divide each side by '0.5'.
X = 7.5 + -0.5x2

Simplifying
X = 7.5 + -0.5x2

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