-75x^2+48x-3=25x^2+100-10x^2

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Solution for -75x^2+48x-3=25x^2+100-10x^2 equation: 


Simplifying
-75x2 + 48x + -3 = 25x2 + 100 + -10x2

Reorder the terms:
-3 + 48x + -75x2 = 25x2 + 100 + -10x2

Reorder the terms:
-3 + 48x + -75x2 = 100 + 25x2 + -10x2

Combine like terms: 25x2 + -10x2 = 15x2
-3 + 48x + -75x2 = 100 + 15x2

Solving
-3 + 48x + -75x2 = 100 + 15x2

Solving for variable 'x'.

Reorder the terms:
-3 + -100 + 48x + -75x2 + -15x2 = 100 + 15x2 + -100 + -15x2

Combine like terms: -3 + -100 = -103
-103 + 48x + -75x2 + -15x2 = 100 + 15x2 + -100 + -15x2

Combine like terms: -75x2 + -15x2 = -90x2
-103 + 48x + -90x2 = 100 + 15x2 + -100 + -15x2

Reorder the terms:
-103 + 48x + -90x2 = 100 + -100 + 15x2 + -15x2

Combine like terms: 100 + -100 = 0
-103 + 48x + -90x2 = 0 + 15x2 + -15x2
-103 + 48x + -90x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-103 + 48x + -90x2 = 0

Begin completing the square.  Divide all terms by
-90 the coefficient of the squared term: 

Divide each side by '-90'.
1.144444444 + -0.5333333333x + x2 = 0.0

Move the constant term to the right:

Add '-1.144444444' to each side of the equation.
1.144444444 + -0.5333333333x + -1.144444444 + x2 = 0.0 + -1.144444444

Reorder the terms:
1.144444444 + -1.144444444 + -0.5333333333x + x2 = 0.0 + -1.144444444

Combine like terms: 1.144444444 + -1.144444444 = 0.000000000
0.000000000 + -0.5333333333x + x2 = 0.0 + -1.144444444
-0.5333333333x + x2 = 0.0 + -1.144444444

Combine like terms: 0.0 + -1.144444444 = -1.144444444
-0.5333333333x + x2 = -1.144444444

The x term is -0.5333333333x.  Take half its coefficient (-0.2666666667).
Square it (0.07111111113) and add it to both sides.

Add '0.07111111113' to each side of the equation.
-0.5333333333x + 0.07111111113 + x2 = -1.144444444 + 0.07111111113

Reorder the terms:
0.07111111113 + -0.5333333333x + x2 = -1.144444444 + 0.07111111113

Combine like terms: -1.144444444 + 0.07111111113 = -1.07333333287
0.07111111113 + -0.5333333333x + x2 = -1.07333333287

Factor a perfect square on the left side:
(x + -0.2666666667)(x + -0.2666666667) = -1.07333333287

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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