3x+x^2-42=88

Solution for 3x+x^2-42=88 equation:

Simplifying
3x + x2 + -42 = 88

Reorder the terms:
-42 + 3x + x2 = 88

Solving
-42 + 3x + x2 = 88

Solving for variable 'x'.

Reorder the terms:
-42 + -88 + 3x + x2 = 88 + -88

Combine like terms: -42 + -88 = -130
-130 + 3x + x2 = 88 + -88

Combine like terms: 88 + -88 = 0
-130 + 3x + x2 = 0

Factor a trinomial.
(-13 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
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
Solution
x = {-13, 10}