-2x^2-13x+3=-4

Solution for -2x^2-13x+3=-4 equation:

Simplifying
-2x2 + -13x + 3 = -4

Reorder the terms:
3 + -13x + -2x2 = -4

Solving
3 + -13x + -2x2 = -4

Solving for variable 'x'.

Reorder the terms:
3 + 4 + -13x + -2x2 = -4 + 4

Combine like terms: 3 + 4 = 7
7 + -13x + -2x2 = -4 + 4

Combine like terms: -4 + 4 = 0
7 + -13x + -2x2 = 0

Factor a trinomial.
(1 + -2x)(7 + x) = 0

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

Simplifying
1 + -2x = 0

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

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7
Solution
x = {0.5, -7}