2x(x-6)=14x^2-13x

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Solution for 2x(x-6)=14x^2-13x equation:


Simplifying
2x(x + -6) = 14x2 + -13x

Reorder the terms:
2x(-6 + x) = 14x2 + -13x
(-6 * 2x + x * 2x) = 14x2 + -13x
(-12x + 2x2) = 14x2 + -13x

Reorder the terms:
-12x + 2x2 = -13x + 14x2

Solving
-12x + 2x2 = -13x + 14x2

Solving for variable 'x'.

Reorder the terms:
-12x + 13x + 2x2 + -14x2 = -13x + 14x2 + 13x + -14x2

Combine like terms: -12x + 13x = 1x
1x + 2x2 + -14x2 = -13x + 14x2 + 13x + -14x2

Combine like terms: 2x2 + -14x2 = -12x2
1x + -12x2 = -13x + 14x2 + 13x + -14x2

Reorder the terms:
1x + -12x2 = -13x + 13x + 14x2 + -14x2

Combine like terms: -13x + 13x = 0
1x + -12x2 = 0 + 14x2 + -14x2
1x + -12x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
1x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -12x) = 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 '(1 + -12x)' equal to zero and attempt to solve:

Simplifying
1 + -12x = 0

Solving
1 + -12x = 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 + -12x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -12x = 0 + -1
-12x = 0 + -1

Combine like terms: 0 + -1 = -1
-12x = -1

Divide each side by '-12'.
x = 0.08333333333

Simplifying
x = 0.08333333333
Solution
x = {0, 0.08333333333}

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