x*(x+1)=1482

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Solution for x*(x+1)=1482 equation:


Simplifying
x(x + 1) = 1482

Reorder the terms:
x(1 + x) = 1482
(1 * x + x * x) = 1482
(1x + x2) = 1482

Solving
1x + x2 = 1482

Solving for variable 'x'.

Reorder the terms:
-1482 + 1x + x2 = 1482 + -1482

Combine like terms: 1482 + -1482 = 0
-1482 + 1x + x2 = 0

Factor a trinomial.
(-39 + -1x)(38 + -1x) = 0

Subproblem 1

Set the factor '(-39 + -1x)' equal to zero and attempt to solve: Simplifying -39 + -1x = 0 Solving -39 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -1x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -1x = 0 + 39 -1x = 0 + 39 Combine like terms: 0 + 39 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39

Subproblem 2

Set the factor '(38 + -1x)' equal to zero and attempt to solve: Simplifying 38 + -1x = 0 Solving 38 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 0 + -38 -1x = 0 + -38 Combine like terms: 0 + -38 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38

Solution

x = {-39, 38}

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