(-4x^2+9x)+(14x^2-2x-3)=

Solution for (-4x^2+9x)+(14x^2-2x-3)= equation:

Simplifying
(-4x2 + 9x) + (14x2 + -2x + -3) = 0

Reorder the terms:
(9x + -4x2) + (14x2 + -2x + -3) = 0

Remove parenthesis around (9x + -4x2)
9x + -4x2 + (14x2 + -2x + -3) = 0

Reorder the terms:
9x + -4x2 + (-3 + -2x + 14x2) = 0

Remove parenthesis around (-3 + -2x + 14x2)
9x + -4x2 + -3 + -2x + 14x2 = 0

Reorder the terms:
-3 + 9x + -2x + -4x2 + 14x2 = 0

Combine like terms: 9x + -2x = 7x
-3 + 7x + -4x2 + 14x2 = 0

Combine like terms: -4x2 + 14x2 = 10x2
-3 + 7x + 10x2 = 0

Solving
-3 + 7x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(3 + -10x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {-1, 0.3}