-16x^2+20x+146=122

Solution for -16x^2+20x+146=122 equation:

Simplifying
-16x2 + 20x + 146 = 122

Reorder the terms:
146 + 20x + -16x2 = 122

Solving
146 + 20x + -16x2 = 122

Solving for variable 'x'.

Reorder the terms:
146 + -122 + 20x + -16x2 = 122 + -122

Combine like terms: 146 + -122 = 24
24 + 20x + -16x2 = 122 + -122

Combine like terms: 122 + -122 = 0
24 + 20x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 5x + -4x2) = 0

Factor a trinomial.
4((2 + -1x)(3 + 4x)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {2, -0.75}