x^2+2x+13=9x+1

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Solution for x^2+2x+13=9x+1 equation:


Simplifying
x2 + 2x + 13 = 9x + 1

Reorder the terms:
13 + 2x + x2 = 9x + 1

Reorder the terms:
13 + 2x + x2 = 1 + 9x

Solving
13 + 2x + x2 = 1 + 9x

Solving for variable 'x'.

Reorder the terms:
13 + -1 + 2x + -9x + x2 = 1 + 9x + -1 + -9x

Combine like terms: 13 + -1 = 12
12 + 2x + -9x + x2 = 1 + 9x + -1 + -9x

Combine like terms: 2x + -9x = -7x
12 + -7x + x2 = 1 + 9x + -1 + -9x

Reorder the terms:
12 + -7x + x2 = 1 + -1 + 9x + -9x

Combine like terms: 1 + -1 = 0
12 + -7x + x2 = 0 + 9x + -9x
12 + -7x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -7x + x2 = 0

Factor a trinomial.
(3 + -1x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

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

Solution

x = {3, 4}

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