3x^2+18x+10=-4x+3

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Solution for 3x^2+18x+10=-4x+3 equation: 


Simplifying
3x2 + 18x + 10 = -4x + 3

Reorder the terms:
10 + 18x + 3x2 = -4x + 3

Reorder the terms:
10 + 18x + 3x2 = 3 + -4x

Solving
10 + 18x + 3x2 = 3 + -4x

Solving for variable 'x'.

Reorder the terms:
10 + -3 + 18x + 4x + 3x2 = 3 + -4x + -3 + 4x

Combine like terms: 10 + -3 = 7
7 + 18x + 4x + 3x2 = 3 + -4x + -3 + 4x

Combine like terms: 18x + 4x = 22x
7 + 22x + 3x2 = 3 + -4x + -3 + 4x

Reorder the terms:
7 + 22x + 3x2 = 3 + -3 + -4x + 4x

Combine like terms: 3 + -3 = 0
7 + 22x + 3x2 = 0 + -4x + 4x
7 + 22x + 3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 22x + 3x2 = 0

Factor a trinomial.
(7 + x)(1 + 3x) = 0


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

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

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

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

Simplifying
x = -7

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-7, -0.3333333333}

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