35x^2+76x-39=

Solution for 35x^2+76x-39= equation:

Simplifying
35x2 + 76x + -39 = 0

Reorder the terms:
-39 + 76x + 35x2 = 0

Solving
-39 + 76x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -5x)(3 + -7x) = 0

Subproblem 1
Set the factor '(-13 + -5x)' equal to zero and attempt to solve:

Simplifying
-13 + -5x = 0

Solving
-13 + -5x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -5x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = 0 + 13
-5x = 0 + 13

Combine like terms: 0 + 13 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6
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 = {-2.6, 0.4285714286}