x^2+5x-43=7

Solution for x^2+5x-43=7 equation:

Simplifying
x2 + 5x + -43 = 7

Reorder the terms:
-43 + 5x + x2 = 7

Solving
-43 + 5x + x2 = 7

Solving for variable 'x'.

Reorder the terms:
-43 + -7 + 5x + x2 = 7 + -7

Combine like terms: -43 + -7 = -50
-50 + 5x + x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-50 + 5x + x2 = 0

Factor a trinomial.
(-10 + -1x)(5 + -1x) = 0

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

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-10, 5}