x(x-1)=110

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Solution for x(x-1)=110 equation:


Simplifying
x(x + -1) = 110

Reorder the terms:
x(-1 + x) = 110
(-1 * x + x * x) = 110
(-1x + x2) = 110

Solving
-1x + x2 = 110

Solving for variable 'x'.

Reorder the terms:
-110 + -1x + x2 = 110 + -110

Combine like terms: 110 + -110 = 0
-110 + -1x + x2 = 0

Factor a trinomial.
(-10 + -1x)(11 + -1x) = 0

Subproblem 1

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 Divide each side by '-1'. x = -10 Simplifying x = -10

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

Solution

x = {-10, 11}

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