5x^2+7x+2=26

Solution for 5x^2+7x+2=26 equation:

Simplifying
5x2 + 7x + 2 = 26

Reorder the terms:
2 + 7x + 5x2 = 26

Solving
2 + 7x + 5x2 = 26

Solving for variable 'x'.

Reorder the terms:
2 + -26 + 7x + 5x2 = 26 + -26

Combine like terms: 2 + -26 = -24
-24 + 7x + 5x2 = 26 + -26

Combine like terms: 26 + -26 = 0
-24 + 7x + 5x2 = 0

Factor a trinomial.
(-3 + -1x)(8 + -5x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-3, 1.6}