4x^2+25x-351=0

Solution for 4x^2+25x-351=0 equation:

Simplifying
4x2 + 25x + -351 = 0

Reorder the terms:
-351 + 25x + 4x2 = 0

Solving
-351 + 25x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -1x)(27 + -4x) = 0

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

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 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 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(27 + -4x)' equal to zero and attempt to solve:

Simplifying
27 + -4x = 0

Solving
27 + -4x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -4x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -4x = 0 + -27
-4x = 0 + -27

Combine like terms: 0 + -27 = -27
-4x = -27

Divide each side by '-4'.
x = 6.75

Simplifying
x = 6.75
Solution
x = {-13, 6.75}