-10x^2+17x+20x=0

Solution for -10x^2+17x+20x=0 equation:

Simplifying
-10x2 + 17x + 20x = 0

Reorder the terms:
17x + 20x + -10x2 = 0

Combine like terms: 17x + 20x = 37x
37x + -10x2 = 0

Solving
37x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(37 + -10x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(37 + -10x)' equal to zero and attempt to solve:

Simplifying
37 + -10x = 0

Solving
37 + -10x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -10x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -10x = 0 + -37
-10x = 0 + -37

Combine like terms: 0 + -37 = -37
-10x = -37

Divide each side by '-10'.
x = 3.7

Simplifying
x = 3.7
Solution
x = {0, 3.7}