(3x^2-x+2)+(x^2+4x-9)=

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Solution for (3x^2-x+2)+(x^2+4x-9)= equation: 


Simplifying
(3x2 + -1x + 2) + (x2 + 4x + -9) = 0

Reorder the terms:
(2 + -1x + 3x2) + (x2 + 4x + -9) = 0

Remove parenthesis around (2 + -1x + 3x2)
2 + -1x + 3x2 + (x2 + 4x + -9) = 0

Reorder the terms:
2 + -1x + 3x2 + (-9 + 4x + x2) = 0

Remove parenthesis around (-9 + 4x + x2)
2 + -1x + 3x2 + -9 + 4x + x2 = 0

Reorder the terms:
2 + -9 + -1x + 4x + 3x2 + x2 = 0

Combine like terms: 2 + -9 = -7
-7 + -1x + 4x + 3x2 + x2 = 0

Combine like terms: -1x + 4x = 3x
-7 + 3x + 3x2 + x2 = 0

Combine like terms: 3x2 + x2 = 4x2
-7 + 3x + 4x2 = 0

Solving
-7 + 3x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -4x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve:

Simplifying
-7 + -4x = 0

Solving
-7 + -4x = 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 + -4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 0 + 7
-4x = 0 + 7

Combine like terms: 0 + 7 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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 = {-1.75, 1}

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