7x(7x)=4x

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Solution for 7x(7x)=4x equation: 


Simplifying
7x(7x) = 4x

Remove parenthesis around (7x)
7x * 7x = 4x

Reorder the terms for easier multiplication:
7 * 7x * x = 4x

Multiply 7 * 7
49x * x = 4x

Multiply x * x
49x2 = 4x

Solving
49x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-4x + 49x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4x + 49x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 49x) = 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 '(-4 + 49x)' equal to zero and attempt to solve:

Simplifying
-4 + 49x = 0

Solving
-4 + 49x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 49x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 49x = 0 + 4
49x = 0 + 4

Combine like terms: 0 + 4 = 4
49x = 4

Divide each side by '49'.
x = 0.08163265306

Simplifying
x = 0.08163265306
Solution
x = {0, 0.08163265306}

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