4x^2+10x+4=9+11x

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Solution for 4x^2+10x+4=9+11x equation: 


Simplifying
4x2 + 10x + 4 = 9 + 11x

Reorder the terms:
4 + 10x + 4x2 = 9 + 11x

Solving
4 + 10x + 4x2 = 9 + 11x

Solving for variable 'x'.

Reorder the terms:
4 + -9 + 10x + -11x + 4x2 = 9 + 11x + -9 + -11x

Combine like terms: 4 + -9 = -5
-5 + 10x + -11x + 4x2 = 9 + 11x + -9 + -11x

Combine like terms: 10x + -11x = -1x
-5 + -1x + 4x2 = 9 + 11x + -9 + -11x

Reorder the terms:
-5 + -1x + 4x2 = 9 + -9 + 11x + -11x

Combine like terms: 9 + -9 = 0
-5 + -1x + 4x2 = 0 + 11x + -11x
-5 + -1x + 4x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-5 + -1x + 4x2 = 0

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


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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-1, 1.25}

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