2x(5y+3x)=

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Solution for 2x(5y+3x)= equation:


Simplifying
2x(5y + 3x) = 0

Reorder the terms:
2x(3x + 5y) = 0
(3x * 2x + 5y * 2x) = 0

Reorder the terms:
(10xy + 6x2) = 0
(10xy + 6x2) = 0

Solving
10xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5y + 3x) = 0

Ignore the factor 2.

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 '(5y + 3x)' equal to zero and attempt to solve: Simplifying 5y + 3x = 0 Reorder the terms: 3x + 5y = 0 Solving 3x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = 0 + -5y 3x = 0 + -5y Remove the zero: 3x = -5y Divide each side by '3'. x = -1.666666667y Simplifying x = -1.666666667y

Solution

x = {0, -1.666666667y}

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