2x*2x+40=2x(x+5)

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Solution for 2x*2x+40=2x(x+5) equation: 


Simplifying
2x * 2x + 40 = 2x(x + 5)

Reorder the terms for easier multiplication:
2 * 2x * x + 40 = 2x(x + 5)

Multiply 2 * 2
4x * x + 40 = 2x(x + 5)

Multiply x * x
4x2 + 40 = 2x(x + 5)

Reorder the terms:
40 + 4x2 = 2x(x + 5)

Reorder the terms:
40 + 4x2 = 2x(5 + x)
40 + 4x2 = (5 * 2x + x * 2x)
40 + 4x2 = (10x + 2x2)

Solving
40 + 4x2 = 10x + 2x2

Solving for variable 'x'.

Reorder the terms:
40 + -10x + 4x2 + -2x2 = 10x + 2x2 + -10x + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
40 + -10x + 2x2 = 10x + 2x2 + -10x + -2x2

Reorder the terms:
40 + -10x + 2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
40 + -10x + 2x2 = 0 + 2x2 + -2x2
40 + -10x + 2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
40 + -10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -5x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
20 + -5x + x2 = 0

Solving
20 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -5x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -5x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -5x + x2 = 0 + -20
-5x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-5x + x2 = -20

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 = -20 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -20 + 6.25

Combine like terms: -20 + 6.25 = -13.75
6.25 + -5x + x2 = -13.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -13.75

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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