4x^2+51x-450=0

Solution for 4x^2+51x-450=0 equation:

Simplifying
4x2 + 51x + -450 = 0

Reorder the terms:
-450 + 51x + 4x2 = 0

Solving
-450 + 51x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-75 + -4x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-75 + -4x)' equal to zero and attempt to solve:

Simplifying
-75 + -4x = 0

Solving
-75 + -4x = 0

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

Add '75' to each side of the equation.
-75 + 75 + -4x = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -4x = 0 + 75
-4x = 0 + 75

Combine like terms: 0 + 75 = 75
-4x = 75

Divide each side by '-4'.
x = -18.75

Simplifying
x = -18.75
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-18.75, 6}