2x^2+16x+42=10

Solution for 2x^2+16x+42=10 equation:

Simplifying
2x2 + 16x + 42 = 10

Reorder the terms:
42 + 16x + 2x2 = 10

Solving
42 + 16x + 2x2 = 10

Solving for variable 'x'.

Reorder the terms:
42 + -10 + 16x + 2x2 = 10 + -10

Combine like terms: 42 + -10 = 32
32 + 16x + 2x2 = 10 + -10

Combine like terms: 10 + -10 = 0
32 + 16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + 8x + x2) = 0

Factor a trinomial.
2((4 + x)(4 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-4, -4}