3x^2+35x+29=3(x+3)

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Solution for 3x^2+35x+29=3(x+3) equation: 


Simplifying
3x2 + 35x + 29 = 3(x + 3)

Reorder the terms:
29 + 35x + 3x2 = 3(x + 3)

Reorder the terms:
29 + 35x + 3x2 = 3(3 + x)
29 + 35x + 3x2 = (3 * 3 + x * 3)
29 + 35x + 3x2 = (9 + 3x)

Solving
29 + 35x + 3x2 = 9 + 3x

Solving for variable 'x'.

Reorder the terms:
29 + -9 + 35x + -3x + 3x2 = 9 + 3x + -9 + -3x

Combine like terms: 29 + -9 = 20
20 + 35x + -3x + 3x2 = 9 + 3x + -9 + -3x

Combine like terms: 35x + -3x = 32x
20 + 32x + 3x2 = 9 + 3x + -9 + -3x

Reorder the terms:
20 + 32x + 3x2 = 9 + -9 + 3x + -3x

Combine like terms: 9 + -9 = 0
20 + 32x + 3x2 = 0 + 3x + -3x
20 + 32x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 32x + 3x2 = 0

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


Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-10, -0.6666666667}

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