-16x^2+42x+6=26

Solution for -16x^2+42x+6=26 equation:

Simplifying
-16x2 + 42x + 6 = 26

Reorder the terms:
6 + 42x + -16x2 = 26

Solving
6 + 42x + -16x2 = 26

Solving for variable 'x'.

Reorder the terms:
6 + -26 + 42x + -16x2 = 26 + -26

Combine like terms: 6 + -26 = -20
-20 + 42x + -16x2 = 26 + -26

Combine like terms: 26 + -26 = 0
-20 + 42x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 21x + -8x2) = 0

Factor a trinomial.
2((-2 + x)(5 + -8x)) = 0

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

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

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

Simplifying
5 + -8x = 0

Solving
5 + -8x = 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 + -8x = 0 + -5

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

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

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {2, 0.625}