5x*15x+45=16x-35

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Solution for 5x*15x+45=16x-35 equation:


Simplifying
5x * 15x + 45 = 16x + -35

Reorder the terms for easier multiplication:
5 * 15x * x + 45 = 16x + -35

Multiply 5 * 15
75x * x + 45 = 16x + -35

Multiply x * x
75x2 + 45 = 16x + -35

Reorder the terms:
45 + 75x2 = 16x + -35

Reorder the terms:
45 + 75x2 = -35 + 16x

Solving
45 + 75x2 = -35 + 16x

Solving for variable 'x'.

Reorder the terms:
45 + 35 + -16x + 75x2 = -35 + 16x + 35 + -16x

Combine like terms: 45 + 35 = 80
80 + -16x + 75x2 = -35 + 16x + 35 + -16x

Reorder the terms:
80 + -16x + 75x2 = -35 + 35 + 16x + -16x

Combine like terms: -35 + 35 = 0
80 + -16x + 75x2 = 0 + 16x + -16x
80 + -16x + 75x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
80 + -16x + 75x2 = 0

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

Divide each side by '75'.
1.066666667 + -0.2133333333x + x2 = 0

Move the constant term to the right:

Add '-1.066666667' to each side of the equation.
1.066666667 + -0.2133333333x + -1.066666667 + x2 = 0 + -1.066666667

Reorder the terms:
1.066666667 + -1.066666667 + -0.2133333333x + x2 = 0 + -1.066666667

Combine like terms: 1.066666667 + -1.066666667 = 0.000000000
0.000000000 + -0.2133333333x + x2 = 0 + -1.066666667
-0.2133333333x + x2 = 0 + -1.066666667

Combine like terms: 0 + -1.066666667 = -1.066666667
-0.2133333333x + x2 = -1.066666667

The x term is -0.2133333333x.  Take half its coefficient (-0.1066666667).
Square it (0.01137777778) and add it to both sides.

Add '0.01137777778' to each side of the equation.
-0.2133333333x + 0.01137777778 + x2 = -1.066666667 + 0.01137777778

Reorder the terms:
0.01137777778 + -0.2133333333x + x2 = -1.066666667 + 0.01137777778

Combine like terms: -1.066666667 + 0.01137777778 = -1.05528888922
0.01137777778 + -0.2133333333x + x2 = -1.05528888922

Factor a perfect square on the left side:
(x + -0.1066666667)(x + -0.1066666667) = -1.05528888922

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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