-147=(7x+1)(x-5)

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Solution for -147=(7x+1)(x-5) equation: 


Simplifying
-147 = (7x + 1)(x + -5)

Reorder the terms:
-147 = (1 + 7x)(x + -5)

Reorder the terms:
-147 = (1 + 7x)(-5 + x)

Multiply (1 + 7x) * (-5 + x)
-147 = (1(-5 + x) + 7x * (-5 + x))
-147 = ((-5 * 1 + x * 1) + 7x * (-5 + x))
-147 = ((-5 + 1x) + 7x * (-5 + x))
-147 = (-5 + 1x + (-5 * 7x + x * 7x))
-147 = (-5 + 1x + (-35x + 7x2))

Combine like terms: 1x + -35x = -34x
-147 = (-5 + -34x + 7x2)

Solving
-147 = -5 + -34x + 7x2

Solving for variable 'x'.

Combine like terms: -147 + 5 = -142
-142 + 34x + -7x2 = -5 + -34x + 7x2 + 5 + 34x + -7x2

Reorder the terms:
-142 + 34x + -7x2 = -5 + 5 + -34x + 34x + 7x2 + -7x2

Combine like terms: -5 + 5 = 0
-142 + 34x + -7x2 = 0 + -34x + 34x + 7x2 + -7x2
-142 + 34x + -7x2 = -34x + 34x + 7x2 + -7x2

Combine like terms: -34x + 34x = 0
-142 + 34x + -7x2 = 0 + 7x2 + -7x2
-142 + 34x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-142 + 34x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
20.28571429 + -4.857142857x + x2 = 0

Move the constant term to the right:

Add '-20.28571429' to each side of the equation.
20.28571429 + -4.857142857x + -20.28571429 + x2 = 0 + -20.28571429

Reorder the terms:
20.28571429 + -20.28571429 + -4.857142857x + x2 = 0 + -20.28571429

Combine like terms: 20.28571429 + -20.28571429 = 0.00000000
0.00000000 + -4.857142857x + x2 = 0 + -20.28571429
-4.857142857x + x2 = 0 + -20.28571429

Combine like terms: 0 + -20.28571429 = -20.28571429
-4.857142857x + x2 = -20.28571429

The x term is -4.857142857x.  Take half its coefficient (-2.428571429).
Square it (5.897959186) and add it to both sides.

Add '5.897959186' to each side of the equation.
-4.857142857x + 5.897959186 + x2 = -20.28571429 + 5.897959186

Reorder the terms:
5.897959186 + -4.857142857x + x2 = -20.28571429 + 5.897959186

Combine like terms: -20.28571429 + 5.897959186 = -14.387755104
5.897959186 + -4.857142857x + x2 = -14.387755104

Factor a perfect square on the left side:
(x + -2.428571429)(x + -2.428571429) = -14.387755104

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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