-(3x+10)+10x(4-5x)=1

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Solution for -(3x+10)+10x(4-5x)=1 equation:


Simplifying
-1(3x + 10) + 10x(4 + -5x) = 1

Reorder the terms:
-1(10 + 3x) + 10x(4 + -5x) = 1
(10 * -1 + 3x * -1) + 10x(4 + -5x) = 1
(-10 + -3x) + 10x(4 + -5x) = 1
-10 + -3x + (4 * 10x + -5x * 10x) = 1
-10 + -3x + (40x + -50x2) = 1

Combine like terms: -3x + 40x = 37x
-10 + 37x + -50x2 = 1

Solving
-10 + 37x + -50x2 = 1

Solving for variable 'x'.

Reorder the terms:
-10 + -1 + 37x + -50x2 = 1 + -1

Combine like terms: -10 + -1 = -11
-11 + 37x + -50x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-11 + 37x + -50x2 = 0

Begin completing the square.  Divide all terms by
-50 the coefficient of the squared term: 

Divide each side by '-50'.
0.22 + -0.74x + x2 = 0.0

Move the constant term to the right:

Add '-0.22' to each side of the equation.
0.22 + -0.74x + -0.22 + x2 = 0.0 + -0.22

Reorder the terms:
0.22 + -0.22 + -0.74x + x2 = 0.0 + -0.22

Combine like terms: 0.22 + -0.22 = 0.00
0.00 + -0.74x + x2 = 0.0 + -0.22
-0.74x + x2 = 0.0 + -0.22

Combine like terms: 0.0 + -0.22 = -0.22
-0.74x + x2 = -0.22

The x term is -0.74x.  Take half its coefficient (-0.37).
Square it (0.1369) and add it to both sides.

Add '0.1369' to each side of the equation.
-0.74x + 0.1369 + x2 = -0.22 + 0.1369

Reorder the terms:
0.1369 + -0.74x + x2 = -0.22 + 0.1369

Combine like terms: -0.22 + 0.1369 = -0.0831
0.1369 + -0.74x + x2 = -0.0831

Factor a perfect square on the left side:
(x + -0.37)(x + -0.37) = -0.0831

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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