(2x-5)(x+6)(X)=

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Solution for (2x-5)(x+6)(X)= equation:


Simplifying
(2x + -5)(x + 6)(X) = 0

Reorder the terms:
(-5 + 2x)(x + 6)(X) = 0

Reorder the terms:
(-5 + 2x)(6 + x)(X) = 0

Reorder the terms for easier multiplication:
X(-5 + 2x)(6 + x) = 0

Multiply (-5 + 2x) * (6 + x)
X(-5(6 + x) + 2x * (6 + x)) = 0
X((6 * -5 + x * -5) + 2x * (6 + x)) = 0
X((-30 + -5x) + 2x * (6 + x)) = 0
X(-30 + -5x + (6 * 2x + x * 2x)) = 0
X(-30 + -5x + (12x + 2x2)) = 0

Combine like terms: -5x + 12x = 7x
X(-30 + 7x + 2x2) = 0
(-30 * X + 7x * X + 2x2 * X) = 0
(-30X + 7xX + 2x2X) = 0

Solving
-30X + 7xX + 2x2X = 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(-30 + 7x + 2x2) = 0

Factor a trinomial.
X((-6 + -1x)(5 + -2x)) = 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 '(-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.

Subproblem 3

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Add '2x' to each side of the equation. -2x + 2x = -5 + 2x Combine like terms: -2x + 2x = 0 0 = -5 + 2x Simplifying 0 = -5 + 2x 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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