X(3x+10)(x-7)=0

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Solution for X(3x+10)(x-7)=0 equation: 


Simplifying
X(3x + 10)(x + -7) = 0

Reorder the terms:
X(10 + 3x)(x + -7) = 0

Reorder the terms:
X(10 + 3x)(-7 + x) = 0

Multiply (10 + 3x) * (-7 + x)
X(10(-7 + x) + 3x * (-7 + x)) = 0
X((-7 * 10 + x * 10) + 3x * (-7 + x)) = 0
X((-70 + 10x) + 3x * (-7 + x)) = 0
X(-70 + 10x + (-7 * 3x + x * 3x)) = 0
X(-70 + 10x + (-21x + 3x2)) = 0

Combine like terms: 10x + -21x = -11x
X(-70 + -11x + 3x2) = 0
(-70 * X + -11x * X + 3x2 * X) = 0
(-70X + -11xX + 3x2X) = 0

Solving
-70X + -11xX + 3x2X = 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), 'X'.
X(-70 + -11x + 3x2) = 0

Factor a trinomial.
X((-10 + -3x)(7 + -1x)) = 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 '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 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 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Add '3x' to each side of the equation.
-3x + 3x = 10 + 3x

Combine like terms: -3x + 3x = 0
0 = 10 + 3x

Simplifying
0 = 10 + 3x

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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + 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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