-14x+20=-2x(x+2)

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Solution for -14x+20=-2x(x+2) equation: 


Simplifying
-14x + 20 = -2x(x + 2)

Reorder the terms:
20 + -14x = -2x(x + 2)

Reorder the terms:
20 + -14x = -2x(2 + x)
20 + -14x = (2 * -2x + x * -2x)
20 + -14x = (-4x + -2x2)

Solving
20 + -14x = -4x + -2x2

Solving for variable 'x'.

Combine like terms: -14x + 4x = -10x
20 + -10x + 2x2 = -4x + -2x2 + 4x + 2x2

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

Combine like terms: -4x + 4x = 0
20 + -10x + 2x2 = 0 + -2x2 + 2x2
20 + -10x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
20 + -10x + 2x2 = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
10 + -5x + x2 = 0

Solving
10 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -5x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -5x + x2 = 0 + -10

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

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

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 = -10 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -10 + 6.25

Combine like terms: -10 + 6.25 = -3.75
6.25 + -5x + x2 = -3.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -3.75

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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