5(x+8)-7x=-(2x-4)12x+2

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Solution for 5(x+8)-7x=-(2x-4)12x+2 equation: 


Simplifying
5(x + 8) + -7x = -1(2x + -4) * 12x + 2

Reorder the terms:
5(8 + x) + -7x = -1(2x + -4) * 12x + 2
(8 * 5 + x * 5) + -7x = -1(2x + -4) * 12x + 2
(40 + 5x) + -7x = -1(2x + -4) * 12x + 2

Combine like terms: 5x + -7x = -2x
40 + -2x = -1(2x + -4) * 12x + 2

Reorder the terms:
40 + -2x = -1(-4 + 2x) * 12x + 2

Reorder the terms for easier multiplication:
40 + -2x = -1 * 12x(-4 + 2x) + 2

Multiply -1 * 12
40 + -2x = -12x(-4 + 2x) + 2
40 + -2x = (-4 * -12x + 2x * -12x) + 2
40 + -2x = (48x + -24x2) + 2

Reorder the terms:
40 + -2x = 2 + 48x + -24x2

Solving
40 + -2x = 2 + 48x + -24x2

Solving for variable 'x'.

Reorder the terms:
40 + -2 + -2x + -48x + 24x2 = 2 + 48x + -24x2 + -2 + -48x + 24x2

Combine like terms: 40 + -2 = 38
38 + -2x + -48x + 24x2 = 2 + 48x + -24x2 + -2 + -48x + 24x2

Combine like terms: -2x + -48x = -50x
38 + -50x + 24x2 = 2 + 48x + -24x2 + -2 + -48x + 24x2

Reorder the terms:
38 + -50x + 24x2 = 2 + -2 + 48x + -48x + -24x2 + 24x2

Combine like terms: 2 + -2 = 0
38 + -50x + 24x2 = 0 + 48x + -48x + -24x2 + 24x2
38 + -50x + 24x2 = 48x + -48x + -24x2 + 24x2

Combine like terms: 48x + -48x = 0
38 + -50x + 24x2 = 0 + -24x2 + 24x2
38 + -50x + 24x2 = -24x2 + 24x2

Combine like terms: -24x2 + 24x2 = 0
38 + -50x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(19 + -25x + 12x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(19 + -25x + 12x2)' equal to zero and attempt to solve:

Simplifying
19 + -25x + 12x2 = 0

Solving
19 + -25x + 12x2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
1.583333333 + -2.083333333x + x2 = 0

Move the constant term to the right:

Add '-1.583333333' to each side of the equation.
1.583333333 + -2.083333333x + -1.583333333 + x2 = 0 + -1.583333333

Reorder the terms:
1.583333333 + -1.583333333 + -2.083333333x + x2 = 0 + -1.583333333

Combine like terms: 1.583333333 + -1.583333333 = 0.000000000
0.000000000 + -2.083333333x + x2 = 0 + -1.583333333
-2.083333333x + x2 = 0 + -1.583333333

Combine like terms: 0 + -1.583333333 = -1.583333333
-2.083333333x + x2 = -1.583333333

The x term is -2.083333333x.  Take half its coefficient (-1.041666667).
Square it (1.085069445) and add it to both sides.

Add '1.085069445' to each side of the equation.
-2.083333333x + 1.085069445 + x2 = -1.583333333 + 1.085069445

Reorder the terms:
1.085069445 + -2.083333333x + x2 = -1.583333333 + 1.085069445

Combine like terms: -1.583333333 + 1.085069445 = -0.498263888
1.085069445 + -2.083333333x + x2 = -0.498263888

Factor a perfect square on the left side:
(x + -1.041666667)(x + -1.041666667) = -0.498263888

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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