2x^2+4x-1=7x^2-7x+1

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Solution for 2x^2+4x-1=7x^2-7x+1 equation: 


Simplifying
2x2 + 4x + -1 = 7x2 + -7x + 1

Reorder the terms:
-1 + 4x + 2x2 = 7x2 + -7x + 1

Reorder the terms:
-1 + 4x + 2x2 = 1 + -7x + 7x2

Solving
-1 + 4x + 2x2 = 1 + -7x + 7x2

Solving for variable 'x'.

Reorder the terms:
-1 + -1 + 4x + 7x + 2x2 + -7x2 = 1 + -7x + 7x2 + -1 + 7x + -7x2

Combine like terms: -1 + -1 = -2
-2 + 4x + 7x + 2x2 + -7x2 = 1 + -7x + 7x2 + -1 + 7x + -7x2

Combine like terms: 4x + 7x = 11x
-2 + 11x + 2x2 + -7x2 = 1 + -7x + 7x2 + -1 + 7x + -7x2

Combine like terms: 2x2 + -7x2 = -5x2
-2 + 11x + -5x2 = 1 + -7x + 7x2 + -1 + 7x + -7x2

Reorder the terms:
-2 + 11x + -5x2 = 1 + -1 + -7x + 7x + 7x2 + -7x2

Combine like terms: 1 + -1 = 0
-2 + 11x + -5x2 = 0 + -7x + 7x + 7x2 + -7x2
-2 + 11x + -5x2 = -7x + 7x + 7x2 + -7x2

Combine like terms: -7x + 7x = 0
-2 + 11x + -5x2 = 0 + 7x2 + -7x2
-2 + 11x + -5x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-2 + 11x + -5x2 = 0

Factor a trinomial.
(-2 + x)(1 + -5x) = 0


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

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

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

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

Simplifying
x = 2

Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {2, 0.2}

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