x(x-1)=812

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Solution for x(x-1)=812 equation:


Simplifying
x(x + -1) = 812

Reorder the terms:
x(-1 + x) = 812
(-1 * x + x * x) = 812
(-1x + x2) = 812

Solving
-1x + x2 = 812

Solving for variable 'x'.

Reorder the terms:
-812 + -1x + x2 = 812 + -812

Combine like terms: 812 + -812 = 0
-812 + -1x + x2 = 0

Factor a trinomial.
(-28 + -1x)(29 + -1x) = 0

Subproblem 1

Set the factor '(-28 + -1x)' equal to zero and attempt to solve: Simplifying -28 + -1x = 0 Solving -28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = 0 + 28 -1x = 0 + 28 Combine like terms: 0 + 28 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28

Subproblem 2

Set the factor '(29 + -1x)' equal to zero and attempt to solve: Simplifying 29 + -1x = 0 Solving 29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 0 + -29 -1x = 0 + -29 Combine like terms: 0 + -29 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29

Solution

x = {-28, 29}

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