6-2x(x+4)=32

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Solution for 6-2x(x+4)=32 equation: 


Simplifying
6 + -2x(x + 4) = 32

Reorder the terms:
6 + -2x(4 + x) = 32
6 + (4 * -2x + x * -2x) = 32
6 + (-8x + -2x2) = 32

Solving
6 + -8x + -2x2 = 32

Solving for variable 'x'.

Reorder the terms:
6 + -32 + -8x + -2x2 = 32 + -32

Combine like terms: 6 + -32 = -26
-26 + -8x + -2x2 = 32 + -32

Combine like terms: 32 + -32 = 0
-26 + -8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(13 + 4x + x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(13 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
13 + 4x + x2 = 0

Solving
13 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 4x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + 4x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4x + x2 = 0 + -13
4x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
4x + x2 = -13

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -13 + 4

Reorder the terms:
4 + 4x + x2 = -13 + 4

Combine like terms: -13 + 4 = -9
4 + 4x + x2 = -9

Factor a perfect square on the left side:
(x + 2)(x + 2) = -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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