x(x+11)(x-1)=0

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Solution for x(x+11)(x-1)=0 equation:


Simplifying
x(x + 11)(x + -1) = 0

Reorder the terms:
x(11 + x)(x + -1) = 0

Reorder the terms:
x(11 + x)(-1 + x) = 0

Multiply (11 + x) * (-1 + x)
x(11(-1 + x) + x(-1 + x)) = 0
x((-1 * 11 + x * 11) + x(-1 + x)) = 0
x((-11 + 11x) + x(-1 + x)) = 0
x(-11 + 11x + (-1 * x + x * x)) = 0
x(-11 + 11x + (-1x + x2)) = 0

Combine like terms: 11x + -1x = 10x
x(-11 + 10x + x2) = 0
(-11 * x + 10x * x + x2 * x) = 0
(-11x + 10x2 + x3) = 0

Solving
-11x + 10x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 10x + x2) = 0

Factor a trinomial.
x((-11 + -1x)(1 + -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 '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 3

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {0, -11, 1}

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