6x^2+7x-3=667

Solution for 6x^2+7x-3=667 equation:

Simplifying
6x2 + 7x + -3 = 667

Reorder the terms:
-3 + 7x + 6x2 = 667

Solving
-3 + 7x + 6x2 = 667

Solving for variable 'x'.

Reorder the terms:
-3 + -667 + 7x + 6x2 = 667 + -667

Combine like terms: -3 + -667 = -670
-670 + 7x + 6x2 = 667 + -667

Combine like terms: 667 + -667 = 0
-670 + 7x + 6x2 = 0

Factor a trinomial.
(-67 + -6x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-67 + -6x)' equal to zero and attempt to solve:

Simplifying
-67 + -6x = 0

Solving
-67 + -6x = 0

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

Add '67' to each side of the equation.
-67 + 67 + -6x = 0 + 67

Combine like terms: -67 + 67 = 0
0 + -6x = 0 + 67
-6x = 0 + 67

Combine like terms: 0 + 67 = 67
-6x = 67

Divide each side by '-6'.
x = -11.16666667

Simplifying
x = -11.16666667
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-11.16666667, 10}