(19+x)x=8100

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Solution for (19+x)x=8100 equation:


Simplifying
(19 + x) * x = 8100

Reorder the terms for easier multiplication:
x(19 + x) = 8100
(19 * x + x * x) = 8100
(19x + x2) = 8100

Solving
19x + x2 = 8100

Solving for variable 'x'.

Reorder the terms:
-8100 + 19x + x2 = 8100 + -8100

Combine like terms: 8100 + -8100 = 0
-8100 + 19x + x2 = 0

Factor a trinomial.
(-100 + -1x)(81 + -1x) = 0

Subproblem 1

Set the factor '(-100 + -1x)' equal to zero and attempt to solve: Simplifying -100 + -1x = 0 Solving -100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -1x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -1x = 0 + 100 -1x = 0 + 100 Combine like terms: 0 + 100 = 100 -1x = 100 Divide each side by '-1'. x = -100 Simplifying x = -100

Subproblem 2

Set the factor '(81 + -1x)' equal to zero and attempt to solve: Simplifying 81 + -1x = 0 Solving 81 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -1x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = 0 + -81 -1x = 0 + -81 Combine like terms: 0 + -81 = -81 -1x = -81 Divide each side by '-1'. x = 81 Simplifying x = 81

Solution

x = {-100, 81}

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