X(8-x)(x+9)=0

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Solution for X(8-x)(x+9)=0 equation:


Simplifying
X(8 + -1x)(x + 9) = 0

Reorder the terms:
X(8 + -1x)(9 + x) = 0

Multiply (8 + -1x) * (9 + x)
X(8(9 + x) + -1x * (9 + x)) = 0
X((9 * 8 + x * 8) + -1x * (9 + x)) = 0
X((72 + 8x) + -1x * (9 + x)) = 0
X(72 + 8x + (9 * -1x + x * -1x)) = 0
X(72 + 8x + (-9x + -1x2)) = 0

Combine like terms: 8x + -9x = -1x
X(72 + -1x + -1x2) = 0
(72 * X + -1x * X + -1x2 * X) = 0
(72X + -1xX + -1x2X) = 0

Solving
72X + -1xX + -1x2X = 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(72 + -1x + -1x2) = 0

Factor a trinomial.
X((8 + -1x)(9 + x)) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Add '-1x' to each side of the equation. x + -1x = -9 + -1x Combine like terms: x + -1x = 0 0 = -9 + -1x Simplifying 0 = -9 + -1x 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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