8x^2+25x-9=11-2x

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Solution for 8x^2+25x-9=11-2x equation: 


Simplifying
8x2 + 25x + -9 = 11 + -2x

Reorder the terms:
-9 + 25x + 8x2 = 11 + -2x

Solving
-9 + 25x + 8x2 = 11 + -2x

Solving for variable 'x'.

Reorder the terms:
-9 + -11 + 25x + 2x + 8x2 = 11 + -2x + -11 + 2x

Combine like terms: -9 + -11 = -20
-20 + 25x + 2x + 8x2 = 11 + -2x + -11 + 2x

Combine like terms: 25x + 2x = 27x
-20 + 27x + 8x2 = 11 + -2x + -11 + 2x

Reorder the terms:
-20 + 27x + 8x2 = 11 + -11 + -2x + 2x

Combine like terms: 11 + -11 = 0
-20 + 27x + 8x2 = 0 + -2x + 2x
-20 + 27x + 8x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 27x + 8x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -8x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {-4, 0.625}

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