5x^2+32x+1=-7x+9

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Solution for 5x^2+32x+1=-7x+9 equation: 


Simplifying
5x2 + 32x + 1 = -7x + 9

Reorder the terms:
1 + 32x + 5x2 = -7x + 9

Reorder the terms:
1 + 32x + 5x2 = 9 + -7x

Solving
1 + 32x + 5x2 = 9 + -7x

Solving for variable 'x'.

Reorder the terms:
1 + -9 + 32x + 7x + 5x2 = 9 + -7x + -9 + 7x

Combine like terms: 1 + -9 = -8
-8 + 32x + 7x + 5x2 = 9 + -7x + -9 + 7x

Combine like terms: 32x + 7x = 39x
-8 + 39x + 5x2 = 9 + -7x + -9 + 7x

Reorder the terms:
-8 + 39x + 5x2 = 9 + -9 + -7x + 7x

Combine like terms: 9 + -9 = 0
-8 + 39x + 5x2 = 0 + -7x + 7x
-8 + 39x + 5x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 39x + 5x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -5x) = 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 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {-8, 0.2}

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