x(x+8)=4080

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Solution for x(x+8)=4080 equation:


Simplifying
x(x + 8) = 4080

Reorder the terms:
x(8 + x) = 4080
(8 * x + x * x) = 4080
(8x + x2) = 4080

Solving
8x + x2 = 4080

Solving for variable 'x'.

Reorder the terms:
-4080 + 8x + x2 = 4080 + -4080

Combine like terms: 4080 + -4080 = 0
-4080 + 8x + x2 = 0

Factor a trinomial.
(-68 + -1x)(60 + -1x) = 0

Subproblem 1

Set the factor '(-68 + -1x)' equal to zero and attempt to solve: Simplifying -68 + -1x = 0 Solving -68 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -1x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -1x = 0 + 68 -1x = 0 + 68 Combine like terms: 0 + 68 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68

Subproblem 2

Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60

Solution

x = {-68, 60}

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