(2x^2-11x)+(3x^2+10x-4)=

Solution for (2x^2-11x)+(3x^2+10x-4)= equation:

Simplifying
(2x2 + -11x) + (3x2 + 10x + -4) = 0

Reorder the terms:
(-11x + 2x2) + (3x2 + 10x + -4) = 0

Remove parenthesis around (-11x + 2x2)
-11x + 2x2 + (3x2 + 10x + -4) = 0

Reorder the terms:
-11x + 2x2 + (-4 + 10x + 3x2) = 0

Remove parenthesis around (-4 + 10x + 3x2)
-11x + 2x2 + -4 + 10x + 3x2 = 0

Reorder the terms:
-4 + -11x + 10x + 2x2 + 3x2 = 0

Combine like terms: -11x + 10x = -1x
-4 + -1x + 2x2 + 3x2 = 0

Combine like terms: 2x2 + 3x2 = 5x2
-4 + -1x + 5x2 = 0

Solving
-4 + -1x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8
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 = {-0.8, 1}