(x+40)(x)=6000

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Solution for (x+40)(x)=6000 equation:


Simplifying
(x + 40)(x) = 6000

Reorder the terms:
(40 + x)(x) = 6000

Reorder the terms for easier multiplication:
x(40 + x) = 6000
(40 * x + x * x) = 6000
(40x + x2) = 6000

Solving
40x + x2 = 6000

Solving for variable 'x'.

Reorder the terms:
-6000 + 40x + x2 = 6000 + -6000

Combine like terms: 6000 + -6000 = 0
-6000 + 40x + x2 = 0

Factor a trinomial.
(-100 + -1x)(60 + -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 '(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 = {-100, 60}

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