2x(x-10)=-4(2x+10)

Solution for 2x(x-10)=-4(2x+10) equation:

Simplifying
2x(x + -10) = -4(2x + 10)

Reorder the terms:
2x(-10 + x) = -4(2x + 10)
(-10 * 2x + x * 2x) = -4(2x + 10)
(-20x + 2x2) = -4(2x + 10)

Reorder the terms:
-20x + 2x2 = -4(10 + 2x)
-20x + 2x2 = (10 * -4 + 2x * -4)
-20x + 2x2 = (-40 + -8x)

Solving
-20x + 2x2 = -40 + -8x

Solving for variable 'x'.

Reorder the terms:
40 + -20x + 8x + 2x2 = -40 + -8x + 40 + 8x

Combine like terms: -20x + 8x = -12x
40 + -12x + 2x2 = -40 + -8x + 40 + 8x

Reorder the terms:
40 + -12x + 2x2 = -40 + 40 + -8x + 8x

Combine like terms: -40 + 40 = 0
40 + -12x + 2x2 = 0 + -8x + 8x
40 + -12x + 2x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
40 + -12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -6x + x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(20 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
20 + -6x + x2 = 0

Solving
20 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -6x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -6x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -6x + x2 = 0 + -20
-6x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-6x + x2 = -20

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -20 + 9

Reorder the terms:
9 + -6x + x2 = -20 + 9

Combine like terms: -20 + 9 = -11
9 + -6x + x2 = -11

Factor a perfect square on the left side:
(x + -3)(x + -3) = -11

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.