7x^2-50x-51=-3

Solution for 7x^2-50x-51=-3 equation:

Simplifying
7x2 + -50x + -51 = -3

Reorder the terms:
-51 + -50x + 7x2 = -3

Solving
-51 + -50x + 7x2 = -3

Solving for variable 'x'.

Reorder the terms:
-51 + 3 + -50x + 7x2 = -3 + 3

Combine like terms: -51 + 3 = -48
-48 + -50x + 7x2 = -3 + 3

Combine like terms: -3 + 3 = 0
-48 + -50x + 7x2 = 0

Factor a trinomial.
(-6 + -7x)(8 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

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