28-x(x)+2-x=10

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Solution for 28-x(x)+2-x=10 equation:


Simplifying
28 + -1x(x) + 2 + -1x = 10

Multiply x * x
28 + -1x2 + 2 + -1x = 10

Reorder the terms:
28 + 2 + -1x + -1x2 = 10

Combine like terms: 28 + 2 = 30
30 + -1x + -1x2 = 10

Solving
30 + -1x + -1x2 = 10

Solving for variable 'x'.

Reorder the terms:
30 + -10 + -1x + -1x2 = 10 + -10

Combine like terms: 30 + -10 = 20
20 + -1x + -1x2 = 10 + -10

Combine like terms: 10 + -10 = 0
20 + -1x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(5 + x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {4, -5}

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