(4x-x^2-9)+(2-2x+6x^2)=

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Solution for (4x-x^2-9)+(2-2x+6x^2)= equation: 


Simplifying
(4x + -1x2 + -9) + (2 + -2x + 6x2) = 0

Reorder the terms:
(-9 + 4x + -1x2) + (2 + -2x + 6x2) = 0

Remove parenthesis around (-9 + 4x + -1x2)
-9 + 4x + -1x2 + (2 + -2x + 6x2) = 0

Remove parenthesis around (2 + -2x + 6x2)
-9 + 4x + -1x2 + 2 + -2x + 6x2 = 0

Reorder the terms:
-9 + 2 + 4x + -2x + -1x2 + 6x2 = 0

Combine like terms: -9 + 2 = -7
-7 + 4x + -2x + -1x2 + 6x2 = 0

Combine like terms: 4x + -2x = 2x
-7 + 2x + -1x2 + 6x2 = 0

Combine like terms: -1x2 + 6x2 = 5x2
-7 + 2x + 5x2 = 0

Solving
-7 + 2x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
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
Solution
x = {-1.4, 1}

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