6x(7x-1)=43x

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Solution for 6x(7x-1)=43x equation:


Simplifying
6x(7x + -1) = 43x

Reorder the terms:
6x(-1 + 7x) = 43x
(-1 * 6x + 7x * 6x) = 43x
(-6x + 42x2) = 43x

Solving
-6x + 42x2 = 43x

Solving for variable 'x'.

Reorder the terms:
-6x + -43x + 42x2 = 43x + -43x

Combine like terms: -6x + -43x = -49x
-49x + 42x2 = 43x + -43x

Combine like terms: 43x + -43x = 0
-49x + 42x2 = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-7 + 6x) = 0

Ignore the factor 7.

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 '(-7 + 6x)' equal to zero and attempt to solve:

Simplifying
-7 + 6x = 0

Solving
-7 + 6x = 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 + 6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 0 + 7
6x = 0 + 7

Combine like terms: 0 + 7 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {0, 1.166666667}

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