-2x(x-5)=30

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Solution for -2x(x-5)=30 equation: 


Simplifying
-2x(x + -5) = 30

Reorder the terms:
-2x(-5 + x) = 30
(-5 * -2x + x * -2x) = 30
(10x + -2x2) = 30

Solving
10x + -2x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 10x + -2x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 5x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-15 + 5x + -1x2)' equal to zero and attempt to solve:

Simplifying
-15 + 5x + -1x2 = 0

Solving
-15 + 5x + -1x2 = 0

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

Divide each side by '-1'.
15 + -5x + x2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -5x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -5x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -5x + x2 = 0 + -15
-5x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-5x + x2 = -15

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -15 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -15 + 6.25

Combine like terms: -15 + 6.25 = -8.75
6.25 + -5x + x2 = -8.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -8.75

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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