-32=-3+7x(x-2)

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Solution for -32=-3+7x(x-2) equation: 


Simplifying
-32 = -3 + 7x(x + -2)

Reorder the terms:
-32 = -3 + 7x(-2 + x)
-32 = -3 + (-2 * 7x + x * 7x)
-32 = -3 + (-14x + 7x2)

Solving
-32 = -3 + -14x + 7x2

Solving for variable 'x'.

Combine like terms: -32 + 3 = -29
-29 + 14x + -7x2 = -3 + -14x + 7x2 + 3 + 14x + -7x2

Reorder the terms:
-29 + 14x + -7x2 = -3 + 3 + -14x + 14x + 7x2 + -7x2

Combine like terms: -3 + 3 = 0
-29 + 14x + -7x2 = 0 + -14x + 14x + 7x2 + -7x2
-29 + 14x + -7x2 = -14x + 14x + 7x2 + -7x2

Combine like terms: -14x + 14x = 0
-29 + 14x + -7x2 = 0 + 7x2 + -7x2
-29 + 14x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-29 + 14x + -7x2 = 0

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

Divide each side by '-7'.
4.142857143 + -2x + x2 = 0

Move the constant term to the right:

Add '-4.142857143' to each side of the equation.
4.142857143 + -2x + -4.142857143 + x2 = 0 + -4.142857143

Reorder the terms:
4.142857143 + -4.142857143 + -2x + x2 = 0 + -4.142857143

Combine like terms: 4.142857143 + -4.142857143 = 0.000000000
0.000000000 + -2x + x2 = 0 + -4.142857143
-2x + x2 = 0 + -4.142857143

Combine like terms: 0 + -4.142857143 = -4.142857143
-2x + x2 = -4.142857143

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 = -4.142857143 + 1

Reorder the terms:
1 + -2x + x2 = -4.142857143 + 1

Combine like terms: -4.142857143 + 1 = -3.142857143
1 + -2x + x2 = -3.142857143

Factor a perfect square on the left side:
(x + -1)(x + -1) = -3.142857143

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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