8x^2+33x+37=3x+10

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Solution for 8x^2+33x+37=3x+10 equation: 


Simplifying
8x2 + 33x + 37 = 3x + 10

Reorder the terms:
37 + 33x + 8x2 = 3x + 10

Reorder the terms:
37 + 33x + 8x2 = 10 + 3x

Solving
37 + 33x + 8x2 = 10 + 3x

Solving for variable 'x'.

Reorder the terms:
37 + -10 + 33x + -3x + 8x2 = 10 + 3x + -10 + -3x

Combine like terms: 37 + -10 = 27
27 + 33x + -3x + 8x2 = 10 + 3x + -10 + -3x

Combine like terms: 33x + -3x = 30x
27 + 30x + 8x2 = 10 + 3x + -10 + -3x

Reorder the terms:
27 + 30x + 8x2 = 10 + -10 + 3x + -3x

Combine like terms: 10 + -10 = 0
27 + 30x + 8x2 = 0 + 3x + -3x
27 + 30x + 8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
27 + 30x + 8x2 = 0

Factor a trinomial.
(9 + 4x)(3 + 2x) = 0


Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-2.25, -1.5}

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