x(x)-x=210

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Solution for x(x)-x=210 equation:


Simplifying
x(x) + -1x = 210

Multiply x * x
x2 + -1x = 210

Reorder the terms:
-1x + x2 = 210

Solving
-1x + x2 = 210

Solving for variable 'x'.

Reorder the terms:
-210 + -1x + x2 = 210 + -210

Combine like terms: 210 + -210 = 0
-210 + -1x + x2 = 0

Factor a trinomial.
(-14 + -1x)(15 + -1x) = 0

Subproblem 1

Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14

Subproblem 2

Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {-14, 15}

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