x^2+160x=8000

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Solution for x^2+160x=8000 equation:


Simplifying
x2 + 160x = 8000

Reorder the terms:
160x + x2 = 8000

Solving
160x + x2 = 8000

Solving for variable 'x'.

Reorder the terms:
-8000 + 160x + x2 = 8000 + -8000

Combine like terms: 8000 + -8000 = 0
-8000 + 160x + x2 = 0

Factor a trinomial.
(-200 + -1x)(40 + -1x) = 0

Subproblem 1

Set the factor '(-200 + -1x)' equal to zero and attempt to solve: Simplifying -200 + -1x = 0 Solving -200 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + -1x = 0 + 200 Combine like terms: -200 + 200 = 0 0 + -1x = 0 + 200 -1x = 0 + 200 Combine like terms: 0 + 200 = 200 -1x = 200 Divide each side by '-1'. x = -200 Simplifying x = -200

Subproblem 2

Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40

Solution

x = {-200, 40}

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