X(20-2x)(15-2x)=0

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Solution for X(20-2x)(15-2x)=0 equation: 


Simplifying
X(20 + -2x)(15 + -2x) = 0

Multiply (20 + -2x) * (15 + -2x)
X(20(15 + -2x) + -2x * (15 + -2x)) = 0
X((15 * 20 + -2x * 20) + -2x * (15 + -2x)) = 0
X((300 + -40x) + -2x * (15 + -2x)) = 0
X(300 + -40x + (15 * -2x + -2x * -2x)) = 0
X(300 + -40x + (-30x + 4x2)) = 0

Combine like terms: -40x + -30x = -70x
X(300 + -70x + 4x2) = 0
(300 * X + -70x * X + 4x2 * X) = 0
(300X + -70xX + 4x2X) = 0

Solving
300X + -70xX + 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), '2X'.
2X(150 + -35x + 2x2) = 0

Factor a trinomial.
2X((15 + -2x)(10 + -1x)) = 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 '(15 + -2x)' equal to zero and attempt to solve:

Simplifying
15 + -2x = 0

Solving
15 + -2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15

Combine like terms: 0 + -15 = -15
-2x = -15

Add '2x' to each side of the equation.
-2x + 2x = -15 + 2x

Combine like terms: -2x + 2x = 0
0 = -15 + 2x

Simplifying
0 = -15 + 2x

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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Add 'x' to each side of the equation.
-1x + x = -10 + x

Combine like terms: -1x + x = 0
0 = -10 + x

Simplifying
0 = -10 + 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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