5x(x+42x)=3(22x+x)

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Solution for 5x(x+42x)=3(22x+x) equation:


Simplifying
5x(x + 42x) = 3(22x + x)

Combine like terms: x + 42x = 43x
5x(43x) = 3(22x + x)

Remove parenthesis around (43x)
5x * 43x = 3(22x + x)

Reorder the terms for easier multiplication:
5 * 43x * x = 3(22x + x)

Multiply 5 * 43
215x * x = 3(22x + x)

Multiply x * x
215x2 = 3(22x + x)

Combine like terms: 22x + x = 23x
215x2 = 3(23x)

Remove parenthesis around (23x)
215x2 = 3 * 23x

Multiply 3 * 23
215x2 = 69x

Solving
215x2 = 69x

Solving for variable 'x'.

Reorder the terms:
-69x + 215x2 = 69x + -69x

Combine like terms: 69x + -69x = 0
-69x + 215x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-69 + 215x) = 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 '(-69 + 215x)' equal to zero and attempt to solve: Simplifying -69 + 215x = 0 Solving -69 + 215x = 0 Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + 215x = 0 + 69 Combine like terms: -69 + 69 = 0 0 + 215x = 0 + 69 215x = 0 + 69 Combine like terms: 0 + 69 = 69 215x = 69 Divide each side by '215'. x = 0.3209302326 Simplifying x = 0.3209302326

Solution

x = {0, 0.3209302326}

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