113x+64+49x^2=

Solution for 113x+64+49x^2= equation:

Simplifying
113x + 64 + 49x2 = 0

Reorder the terms:
64 + 113x + 49x2 = 0

Solving
64 + 113x + 49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(64 + 49x)(1 + x) = 0

Subproblem 1
Set the factor '(64 + 49x)' equal to zero and attempt to solve:

Simplifying
64 + 49x = 0

Solving
64 + 49x = 0

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

Add '-64' to each side of the equation.
64 + -64 + 49x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 49x = 0 + -64
49x = 0 + -64

Combine like terms: 0 + -64 = -64
49x = -64

Divide each side by '49'.
x = -1.306122449

Simplifying
x = -1.306122449
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-1.306122449, -1}