5x^2-42=-11x

Solution for 5x^2-42=-11x equation:

Simplifying
5x2 + -42 = -11x

Reorder the terms:
-42 + 5x2 = -11x

Solving
-42 + 5x2 = -11x

Solving for variable 'x'.

Reorder the terms:
-42 + 11x + 5x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
-42 + 11x + 5x2 = 0

Factor a trinomial.
(-21 + -5x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -5x)' equal to zero and attempt to solve:

Simplifying
-21 + -5x = 0

Solving
-21 + -5x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -5x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -5x = 0 + 21
-5x = 0 + 21

Combine like terms: 0 + 21 = 21
-5x = 21

Divide each side by '-5'.
x = -4.2

Simplifying
x = -4.2
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 = {-4.2, 2}