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

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


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

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

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

Solving for variable 'x'.

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

Combine like terms: -11 + -5 = -16
-16 + 3x + 3x + 7x2 = 5 + -3x + -5 + 3x

Combine like terms: 3x + 3x = 6x
-16 + 6x + 7x2 = 5 + -3x + -5 + 3x

Reorder the terms:
-16 + 6x + 7x2 = 5 + -5 + -3x + 3x

Combine like terms: 5 + -5 = 0
-16 + 6x + 7x2 = 0 + -3x + 3x
-16 + 6x + 7x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 6x + 7x2 = 0

Factor a trinomial.
(-2 + -1x)(8 + -7x) = 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 '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-2, 1.142857143}

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