5x^2+26x+11=-1+3x

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Solution for 5x^2+26x+11=-1+3x equation: 


Simplifying
5x2 + 26x + 11 = -1 + 3x

Reorder the terms:
11 + 26x + 5x2 = -1 + 3x

Solving
11 + 26x + 5x2 = -1 + 3x

Solving for variable 'x'.

Reorder the terms:
11 + 1 + 26x + -3x + 5x2 = -1 + 3x + 1 + -3x

Combine like terms: 11 + 1 = 12
12 + 26x + -3x + 5x2 = -1 + 3x + 1 + -3x

Combine like terms: 26x + -3x = 23x
12 + 23x + 5x2 = -1 + 3x + 1 + -3x

Reorder the terms:
12 + 23x + 5x2 = -1 + 1 + 3x + -3x

Combine like terms: -1 + 1 = 0
12 + 23x + 5x2 = 0 + 3x + -3x
12 + 23x + 5x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 23x + 5x2 = 0

Factor a trinomial.
(4 + x)(3 + 5x) = 0


Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-4, -0.6}

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