=35x^2+29x+6

Solution for =35x^2+29x+6 equation:

Simplifying
0 = 35x2 + 29x + 6

Reorder the terms:
0 = 6 + 29x + 35x2

Solving
0 = 6 + 29x + 35x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -29x + -35x2 = 6 + 29x + 35x2 + -6 + -29x + -35x2

Reorder the terms:
-6 + -29x + -35x2 = 6 + -6 + 29x + -29x + 35x2 + -35x2

Combine like terms: 6 + -6 = 0
-6 + -29x + -35x2 = 0 + 29x + -29x + 35x2 + -35x2
-6 + -29x + -35x2 = 29x + -29x + 35x2 + -35x2

Combine like terms: 29x + -29x = 0
-6 + -29x + -35x2 = 0 + 35x2 + -35x2
-6 + -29x + -35x2 = 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
-6 + -29x + -35x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 29x + 35x2) = 0

Factor a trinomial.
-1((3 + 7x)(2 + 5x)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-0.4285714286, -0.4}