7x^2-8x-9=3

Solution for 7x^2-8x-9=3 equation:

Simplifying
7x2 + -8x + -9 = 3

Reorder the terms:
-9 + -8x + 7x2 = 3

Solving
-9 + -8x + 7x2 = 3

Solving for variable 'x'.

Reorder the terms:
-9 + -3 + -8x + 7x2 = 3 + -3

Combine like terms: -9 + -3 = -12
-12 + -8x + 7x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-12 + -8x + 7x2 = 0

Factor a trinomial.
(-6 + -7x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.8571428571, 2}