5x^2+3x-11=7-6x

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Solution for 5x^2+3x-11=7-6x equation: 


Simplifying
5x2 + 3x + -11 = 7 + -6x

Reorder the terms:
-11 + 3x + 5x2 = 7 + -6x

Solving
-11 + 3x + 5x2 = 7 + -6x

Solving for variable 'x'.

Reorder the terms:
-11 + -7 + 3x + 6x + 5x2 = 7 + -6x + -7 + 6x

Combine like terms: -11 + -7 = -18
-18 + 3x + 6x + 5x2 = 7 + -6x + -7 + 6x

Combine like terms: 3x + 6x = 9x
-18 + 9x + 5x2 = 7 + -6x + -7 + 6x

Reorder the terms:
-18 + 9x + 5x2 = 7 + -7 + -6x + 6x

Combine like terms: 7 + -7 = 0
-18 + 9x + 5x2 = 0 + -6x + 6x
-18 + 9x + 5x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 9x + 5x2 = 0

Factor a trinomial.
(-3 + -1x)(6 + -5x) = 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 '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-3, 1.2}

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