-x(5x+-10)=50

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Solution for -x(5x+-10)=50 equation: 


Simplifying
-1x(5x + -10) = 50

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

Solving
10x + -5x2 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + 10x + -5x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + 10x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + 2x + -1x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-10 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
-10 + 2x + -1x2 = 0

Solving
-10 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
10 + -2x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -2x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2x + x2 = 0 + -10
-2x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2x + x2 = -10

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -10 + 1

Reorder the terms:
1 + -2x + x2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + -2x + x2 = -9

Factor a perfect square on the left side:
(x + -1)(x + -1) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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