2x(x+3y+32)=

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Solution for 2x(x+3y+32)= equation:


Simplifying
2x(x + 3y + 32) = 0

Reorder the terms:
2x(32 + x + 3y) = 0
(32 * 2x + x * 2x + 3y * 2x) = 0

Reorder the terms:
(64x + 6xy + 2x2) = 0
(64x + 6xy + 2x2) = 0

Solving
64x + 6xy + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(32 + 3y + x) = 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 '(32 + 3y + x)' equal to zero and attempt to solve: Simplifying 32 + 3y + x = 0 Reorder the terms: 32 + x + 3y = 0 Solving 32 + x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + x + -32 + 3y = 0 + -32 Reorder the terms: 32 + -32 + x + 3y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + x + 3y = 0 + -32 x + 3y = 0 + -32 Combine like terms: 0 + -32 = -32 x + 3y = -32 Add '-3y' to each side of the equation. x + 3y + -3y = -32 + -3y Combine like terms: 3y + -3y = 0 x + 0 = -32 + -3y x = -32 + -3y Simplifying x = -32 + -3y

Solution

x = {0, -32 + -3y}

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