5(x^2+4x+4)+34(x+2)-7=0

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Solution for 5(x^2+4x+4)+34(x+2)-7=0 equation: 


Simplifying
5(x2 + 4x + 4) + 34(x + 2) + -7 = 0

Reorder the terms:
5(4 + 4x + x2) + 34(x + 2) + -7 = 0
(4 * 5 + 4x * 5 + x2 * 5) + 34(x + 2) + -7 = 0
(20 + 20x + 5x2) + 34(x + 2) + -7 = 0

Reorder the terms:
20 + 20x + 5x2 + 34(2 + x) + -7 = 0
20 + 20x + 5x2 + (2 * 34 + x * 34) + -7 = 0
20 + 20x + 5x2 + (68 + 34x) + -7 = 0

Reorder the terms:
20 + 68 + -7 + 20x + 34x + 5x2 = 0

Combine like terms: 20 + 68 = 88
88 + -7 + 20x + 34x + 5x2 = 0

Combine like terms: 88 + -7 = 81
81 + 20x + 34x + 5x2 = 0

Combine like terms: 20x + 34x = 54x
81 + 54x + 5x2 = 0

Solving
81 + 54x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(9 + 5x) = 0


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

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9

Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 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 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {-9, -1.8}

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