2x^2-2x-1=-7x+6

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Solution for 2x^2-2x-1=-7x+6 equation: 


Simplifying
2x2 + -2x + -1 = -7x + 6

Reorder the terms:
-1 + -2x + 2x2 = -7x + 6

Reorder the terms:
-1 + -2x + 2x2 = 6 + -7x

Solving
-1 + -2x + 2x2 = 6 + -7x

Solving for variable 'x'.

Reorder the terms:
-1 + -6 + -2x + 7x + 2x2 = 6 + -7x + -6 + 7x

Combine like terms: -1 + -6 = -7
-7 + -2x + 7x + 2x2 = 6 + -7x + -6 + 7x

Combine like terms: -2x + 7x = 5x
-7 + 5x + 2x2 = 6 + -7x + -6 + 7x

Reorder the terms:
-7 + 5x + 2x2 = 6 + -6 + -7x + 7x

Combine like terms: 6 + -6 = 0
-7 + 5x + 2x2 = 0 + -7x + 7x
-7 + 5x + 2x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-7 + 5x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-3.5, 1}

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