0=3x^2+10x+7

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Solution for 0=3x^2+10x+7 equation: 


Simplifying
0 = 3x2 + 10x + 7

Reorder the terms:
0 = 7 + 10x + 3x2

Solving
0 = 7 + 10x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -7 = -7
-7 + -10x + -3x2 = 7 + 10x + 3x2 + -7 + -10x + -3x2

Reorder the terms:
-7 + -10x + -3x2 = 7 + -7 + 10x + -10x + 3x2 + -3x2

Combine like terms: 7 + -7 = 0
-7 + -10x + -3x2 = 0 + 10x + -10x + 3x2 + -3x2
-7 + -10x + -3x2 = 10x + -10x + 3x2 + -3x2

Combine like terms: 10x + -10x = 0
-7 + -10x + -3x2 = 0 + 3x2 + -3x2
-7 + -10x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-7 + -10x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 10x + 3x2) = 0

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

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-2.333333333, -1}

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