7x^2+38x+15=(7x+3)

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Solution for 7x^2+38x+15=(7x+3) equation: 


Simplifying
7x2 + 38x + 15 = (7x + 3)

Reorder the terms:
15 + 38x + 7x2 = (7x + 3)

Reorder the terms:
15 + 38x + 7x2 = (3 + 7x)

Remove parenthesis around (3 + 7x)
15 + 38x + 7x2 = 3 + 7x

Solving
15 + 38x + 7x2 = 3 + 7x

Solving for variable 'x'.

Reorder the terms:
15 + -3 + 38x + -7x + 7x2 = 3 + 7x + -3 + -7x

Combine like terms: 15 + -3 = 12
12 + 38x + -7x + 7x2 = 3 + 7x + -3 + -7x

Combine like terms: 38x + -7x = 31x
12 + 31x + 7x2 = 3 + 7x + -3 + -7x

Reorder the terms:
12 + 31x + 7x2 = 3 + -3 + 7x + -7x

Combine like terms: 3 + -3 = 0
12 + 31x + 7x2 = 0 + 7x + -7x
12 + 31x + 7x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
12 + 31x + 7x2 = 0

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


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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

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

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

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

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Solution
x = {-4, -0.4285714286}

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