5x*6x=11x

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Solution for 5x*6x=11x equation:


Simplifying
5x * 6x = 11x

Reorder the terms for easier multiplication:
5 * 6x * x = 11x

Multiply 5 * 6
30x * x = 11x

Multiply x * x
30x2 = 11x

Solving
30x2 = 11x

Solving for variable 'x'.

Reorder the terms:
-11x + 30x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-11x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 30x) = 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 '(-11 + 30x)' equal to zero and attempt to solve: Simplifying -11 + 30x = 0 Solving -11 + 30x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 30x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 30x = 0 + 11 30x = 0 + 11 Combine like terms: 0 + 11 = 11 30x = 11 Divide each side by '30'. x = 0.3666666667 Simplifying x = 0.3666666667

Solution

x = {0, 0.3666666667}

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