7x-3x*24x=3x

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Solution for 7x-3x*24x=3x equation: 


Simplifying
7x + -3x * 24x = 3x

Reorder the terms for easier multiplication:
7x + -3 * 24x * x = 3x

Multiply -3 * 24
7x + -72x * x = 3x

Multiply x * x
7x + -72x2 = 3x

Solving
7x + -72x2 = 3x

Solving for variable 'x'.

Reorder the terms:
7x + -3x + -72x2 = 3x + -3x

Combine like terms: 7x + -3x = 4x
4x + -72x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
4x + -72x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + -18x) = 0

Ignore the factor 4.

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 + -18x)' equal to zero and attempt to solve:

Simplifying
1 + -18x = 0

Solving
1 + -18x = 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 + -18x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -18x = 0 + -1
-18x = 0 + -1

Combine like terms: 0 + -1 = -1
-18x = -1

Divide each side by '-18'.
x = 0.05555555556

Simplifying
x = 0.05555555556
Solution
x = {0, 0.05555555556}

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