-7x^2+14x=x

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Solution for -7x^2+14x=x equation: 


Simplifying
-7x2 + 14x = x

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

Solving
14x + -7x2 = x

Solving for variable 'x'.

Reorder the terms:
14x + -1x + -7x2 = x + -1x

Combine like terms: 14x + -1x = 13x
13x + -7x2 = x + -1x

Combine like terms: x + -1x = 0
13x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -7x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(13 + -7x)' equal to zero and attempt to solve:

Simplifying
13 + -7x = 0

Solving
13 + -7x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -7x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = 0 + -13
-7x = 0 + -13

Combine like terms: 0 + -13 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857
Solution
x = {0, 1.857142857}

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