x^2-70x-3000=0

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Solution for x^2-70x-3000=0 equation:


Simplifying
x2 + -70x + -3000 = 0

Reorder the terms:
-3000 + -70x + x2 = 0

Solving
-3000 + -70x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-30 + -1x)(100 + -1x) = 0

Subproblem 1

Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30

Subproblem 2

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

Solution

x = {-30, 100}

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