2x(x+4)-4(3x-7)=

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Solution for 2x(x+4)-4(3x-7)= equation: 


Simplifying
2x(x + 4) + -4(3x + -7) = 0

Reorder the terms:
2x(4 + x) + -4(3x + -7) = 0
(4 * 2x + x * 2x) + -4(3x + -7) = 0
(8x + 2x2) + -4(3x + -7) = 0

Reorder the terms:
8x + 2x2 + -4(-7 + 3x) = 0
8x + 2x2 + (-7 * -4 + 3x * -4) = 0
8x + 2x2 + (28 + -12x) = 0

Reorder the terms:
28 + 8x + -12x + 2x2 = 0

Combine like terms: 8x + -12x = -4x
28 + -4x + 2x2 = 0

Solving
28 + -4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(14 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
14 + -2x + x2 = 0

Solving
14 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -2x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -2x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2x + x2 = 0 + -14
-2x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-2x + x2 = -14

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -14 + 1

Reorder the terms:
1 + -2x + x2 = -14 + 1

Combine like terms: -14 + 1 = -13
1 + -2x + x2 = -13

Factor a perfect square on the left side:
(x + -1)(x + -1) = -13

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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