2x^2+7x-3=19

Solution for 2x^2+7x-3=19 equation:

Simplifying
2x2 + 7x + -3 = 19

Reorder the terms:
-3 + 7x + 2x2 = 19

Solving
-3 + 7x + 2x2 = 19

Solving for variable 'x'.

Reorder the terms:
-3 + -19 + 7x + 2x2 = 19 + -19

Combine like terms: -3 + -19 = -22
-22 + 7x + 2x2 = 19 + -19

Combine like terms: 19 + -19 = 0
-22 + 7x + 2x2 = 0

Factor a trinomial.
(-11 + -2x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve:

Simplifying
-11 + -2x = 0

Solving
-11 + -2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 0 + 11
-2x = 0 + 11

Combine like terms: 0 + 11 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-5.5, 2}