7x(-12+x)=5x

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Solution for 7x(-12+x)=5x equation:


Simplifying
7x(-12 + x) = 5x
(-12 * 7x + x * 7x) = 5x
(-84x + 7x2) = 5x

Solving
-84x + 7x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-84x + -5x + 7x2 = 5x + -5x

Combine like terms: -84x + -5x = -89x
-89x + 7x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-89x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-89 + 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 '(-89 + 7x)' equal to zero and attempt to solve:

Simplifying
-89 + 7x = 0

Solving
-89 + 7x = 0

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

Add '89' to each side of the equation.
-89 + 89 + 7x = 0 + 89

Combine like terms: -89 + 89 = 0
0 + 7x = 0 + 89
7x = 0 + 89

Combine like terms: 0 + 89 = 89
7x = 89

Divide each side by '7'.
x = 12.71428571

Simplifying
x = 12.71428571
Solution
x = {0, 12.71428571}

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