(3x-1)-(4x+3)+(2x^2-11)=

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Solution for (3x-1)-(4x+3)+(2x^2-11)= equation: 


Simplifying
(3x + -1) + -1(4x + 3) + (2x2 + -11) = 0

Reorder the terms:
(-1 + 3x) + -1(4x + 3) + (2x2 + -11) = 0

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1(4x + 3) + (2x2 + -11) = 0

Reorder the terms:
-1 + 3x + -1(3 + 4x) + (2x2 + -11) = 0
-1 + 3x + (3 * -1 + 4x * -1) + (2x2 + -11) = 0
-1 + 3x + (-3 + -4x) + (2x2 + -11) = 0

Reorder the terms:
-1 + 3x + -3 + -4x + (-11 + 2x2) = 0

Remove parenthesis around (-11 + 2x2)
-1 + 3x + -3 + -4x + -11 + 2x2 = 0

Reorder the terms:
-1 + -3 + -11 + 3x + -4x + 2x2 = 0

Combine like terms: -1 + -3 = -4
-4 + -11 + 3x + -4x + 2x2 = 0

Combine like terms: -4 + -11 = -15
-15 + 3x + -4x + 2x2 = 0

Combine like terms: 3x + -4x = -1x
-15 + -1x + 2x2 = 0

Solving
-15 + -1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
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
Solution
x = {-2.5, 3}

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