x(x-200)=2100

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Solution for x(x-200)=2100 equation:


Simplifying
x(x + -200) = 2100

Reorder the terms:
x(-200 + x) = 2100
(-200 * x + x * x) = 2100
(-200x + x2) = 2100

Solving
-200x + x2 = 2100

Solving for variable 'x'.

Reorder the terms:
-2100 + -200x + x2 = 2100 + -2100

Combine like terms: 2100 + -2100 = 0
-2100 + -200x + x2 = 0

Factor a trinomial.
(-10 + -1x)(210 + -1x) = 0

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(210 + -1x)' equal to zero and attempt to solve: Simplifying 210 + -1x = 0 Solving 210 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-210' to each side of the equation. 210 + -210 + -1x = 0 + -210 Combine like terms: 210 + -210 = 0 0 + -1x = 0 + -210 -1x = 0 + -210 Combine like terms: 0 + -210 = -210 -1x = -210 Divide each side by '-1'. x = 210 Simplifying x = 210

Solution

x = {-10, 210}

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