35x^2+20x+180=195

Solution for 35x^2+20x+180=195 equation:

Simplifying
35x2 + 20x + 180 = 195

Reorder the terms:
180 + 20x + 35x2 = 195

Solving
180 + 20x + 35x2 = 195

Solving for variable 'x'.

Reorder the terms:
180 + -195 + 20x + 35x2 = 195 + -195

Combine like terms: 180 + -195 = -15
-15 + 20x + 35x2 = 195 + -195

Combine like terms: 195 + -195 = 0
-15 + 20x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + 4x + 7x2) = 0

Factor a trinomial.
5((-1 + -1x)(3 + -7x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 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 + -1x = 0 + 1

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-1, 0.4285714286}