6x-14x(x-7)=18x

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Solution for 6x-14x(x-7)=18x equation: 


Simplifying
6x + -14x(x + -7) = 18x

Reorder the terms:
6x + -14x(-7 + x) = 18x
6x + (-7 * -14x + x * -14x) = 18x
6x + (98x + -14x2) = 18x

Combine like terms: 6x + 98x = 104x
104x + -14x2 = 18x

Solving
104x + -14x2 = 18x

Solving for variable 'x'.

Reorder the terms:
104x + -18x + -14x2 = 18x + -18x

Combine like terms: 104x + -18x = 86x
86x + -14x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
86x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(43 + -7x) = 0

Ignore the factor 2.

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 '(43 + -7x)' equal to zero and attempt to solve:

Simplifying
43 + -7x = 0

Solving
43 + -7x = 0

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

Add '-43' to each side of the equation.
43 + -43 + -7x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -7x = 0 + -43
-7x = 0 + -43

Combine like terms: 0 + -43 = -43
-7x = -43

Divide each side by '-7'.
x = 6.142857143

Simplifying
x = 6.142857143
Solution
x = {0, 6.142857143}

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