(x-3)x=208

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Solution for (x-3)x=208 equation:


Simplifying
(x + -3) * x = 208

Reorder the terms:
(-3 + x) * x = 208

Reorder the terms for easier multiplication:
x(-3 + x) = 208
(-3 * x + x * x) = 208
(-3x + x2) = 208

Solving
-3x + x2 = 208

Solving for variable 'x'.

Reorder the terms:
-208 + -3x + x2 = 208 + -208

Combine like terms: 208 + -208 = 0
-208 + -3x + x2 = 0

Factor a trinomial.
(-13 + -1x)(16 + -1x) = 0

Subproblem 1

Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13

Subproblem 2

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Solution

x = {-13, 16}

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