4x(67*3x)=45x

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Solution for 4x(67*3x)=45x equation:


Simplifying
4x(67 * 3x) = 45x

Multiply 67 * 3
4x(201x) = 45x

Remove parenthesis around (201x)
4x * 201x = 45x

Reorder the terms for easier multiplication:
4 * 201x * x = 45x

Multiply 4 * 201
804x * x = 45x

Multiply x * x
804x2 = 45x

Solving
804x2 = 45x

Solving for variable 'x'.

Reorder the terms:
-45x + 804x2 = 45x + -45x

Combine like terms: 45x + -45x = 0
-45x + 804x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-15 + 268x) = 0

Ignore the factor 3.

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 '(-15 + 268x)' equal to zero and attempt to solve: Simplifying -15 + 268x = 0 Solving -15 + 268x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 268x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 268x = 0 + 15 268x = 0 + 15 Combine like terms: 0 + 15 = 15 268x = 15 Divide each side by '268'. x = 0.05597014925 Simplifying x = 0.05597014925

Solution

x = {0, 0.05597014925}

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