-16x^2+20x+6=10

Solution for -16x^2+20x+6=10 equation:

Simplifying
-16x2 + 20x + 6 = 10

Reorder the terms:
6 + 20x + -16x2 = 10

Solving
6 + 20x + -16x2 = 10

Solving for variable 'x'.

Reorder the terms:
6 + -10 + 20x + -16x2 = 10 + -10

Combine like terms: 6 + -10 = -4
-4 + 20x + -16x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-4 + 20x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 5x + -4x2) = 0

Factor a trinomial.
4((-1 + x)(1 + -4x)) = 0

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

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {1, 0.25}