X*X+7X-8=0

Solution for X*X+7X-8=0 equation:

Simplifying
X * X + 7X + -8 = 0

Multiply X * X
X2 + 7X + -8 = 0

Reorder the terms:
-8 + 7X + X2 = 0

Solving
-8 + 7X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-8 + -1X)(1 + -1X) = 0

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

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1X = 0 + -1
-1X = 0 + -1

Combine like terms: 0 + -1 = -1
-1X = -1

Divide each side by '-1'.
X = 1

Simplifying
X = 1
Solution
X = {-8, 1}