4x^2+97x+570=

Solution for 4x^2+97x+570= equation:

Simplifying
4x2 + 97x + 570 = 0

Reorder the terms:
570 + 97x + 4x2 = 0

Solving
570 + 97x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(57 + 4x)(10 + x) = 0

Subproblem 1
Set the factor '(57 + 4x)' equal to zero and attempt to solve:

Simplifying
57 + 4x = 0

Solving
57 + 4x = 0

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

Add '-57' to each side of the equation.
57 + -57 + 4x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + 4x = 0 + -57
4x = 0 + -57

Combine like terms: 0 + -57 = -57
4x = -57

Divide each side by '4'.
x = -14.25

Simplifying
x = -14.25
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

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

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

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

Simplifying
x = -10
Solution
x = {-14.25, -10}