X(10-2x)(12-2x)=0

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Solution for X(10-2x)(12-2x)=0 equation:


Simplifying
X(10 + -2x)(12 + -2x) = 0

Multiply (10 + -2x) * (12 + -2x)
X(10(12 + -2x) + -2x * (12 + -2x)) = 0
X((12 * 10 + -2x * 10) + -2x * (12 + -2x)) = 0
X((120 + -20x) + -2x * (12 + -2x)) = 0
X(120 + -20x + (12 * -2x + -2x * -2x)) = 0
X(120 + -20x + (-24x + 4x2)) = 0

Combine like terms: -20x + -24x = -44x
X(120 + -44x + 4x2) = 0
(120 * X + -44x * X + 4x2 * X) = 0
(120X + -44xX + 4x2X) = 0

Solving
120X + -44xX + 4x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '4X'.
4X(30 + -11x + x2) = 0

Factor a trinomial.
4X((5 + -1x)(6 + -1x)) = 0

Ignore the factor 4.

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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

X = {0}

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