35x^2+240=-310x

Solution for 35x^2+240=-310x equation:

Simplifying
35x2 + 240 = -310x

Reorder the terms:
240 + 35x2 = -310x

Solving
240 + 35x2 = -310x

Solving for variable 'x'.

Reorder the terms:
240 + 310x + 35x2 = -310x + 310x

Combine like terms: -310x + 310x = 0
240 + 310x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + 62x + 7x2) = 0

Factor a trinomial.
5((8 + x)(6 + 7x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve:

Simplifying
6 + 7x = 0

Solving
6 + 7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 0 + -6
7x = 0 + -6

Combine like terms: 0 + -6 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Solution
x = {-8, -0.8571428571}