7x^2+5x+8=10

Solution for 7x^2+5x+8=10 equation:

Simplifying
7x2 + 5x + 8 = 10

Reorder the terms:
8 + 5x + 7x2 = 10

Solving
8 + 5x + 7x2 = 10

Solving for variable 'x'.

Reorder the terms:
8 + -10 + 5x + 7x2 = 10 + -10

Combine like terms: 8 + -10 = -2
-2 + 5x + 7x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-2 + 5x + 7x2 = 0

Factor a trinomial.
(-1 + -1x)(2 + -7x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-1, 0.2857142857}