x^2-10x+26=3x+4

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Solution for x^2-10x+26=3x+4 equation: 


Simplifying
x2 + -10x + 26 = 3x + 4

Reorder the terms:
26 + -10x + x2 = 3x + 4

Reorder the terms:
26 + -10x + x2 = 4 + 3x

Solving
26 + -10x + x2 = 4 + 3x

Solving for variable 'x'.

Reorder the terms:
26 + -4 + -10x + -3x + x2 = 4 + 3x + -4 + -3x

Combine like terms: 26 + -4 = 22
22 + -10x + -3x + x2 = 4 + 3x + -4 + -3x

Combine like terms: -10x + -3x = -13x
22 + -13x + x2 = 4 + 3x + -4 + -3x

Reorder the terms:
22 + -13x + x2 = 4 + -4 + 3x + -3x

Combine like terms: 4 + -4 = 0
22 + -13x + x2 = 0 + 3x + -3x
22 + -13x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -13x + x2 = 0

Factor a trinomial.
(2 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {2, 11}

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