2(x^2+14x+49)-5(x+7)-18=0

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Solution for 2(x^2+14x+49)-5(x+7)-18=0 equation: 


Simplifying
2(x2 + 14x + 49) + -5(x + 7) + -18 = 0

Reorder the terms:
2(49 + 14x + x2) + -5(x + 7) + -18 = 0
(49 * 2 + 14x * 2 + x2 * 2) + -5(x + 7) + -18 = 0
(98 + 28x + 2x2) + -5(x + 7) + -18 = 0

Reorder the terms:
98 + 28x + 2x2 + -5(7 + x) + -18 = 0
98 + 28x + 2x2 + (7 * -5 + x * -5) + -18 = 0
98 + 28x + 2x2 + (-35 + -5x) + -18 = 0

Reorder the terms:
98 + -35 + -18 + 28x + -5x + 2x2 = 0

Combine like terms: 98 + -35 = 63
63 + -18 + 28x + -5x + 2x2 = 0

Combine like terms: 63 + -18 = 45
45 + 28x + -5x + 2x2 = 0

Combine like terms: 28x + -5x = 23x
45 + 23x + 2x2 = 0

Solving
45 + 23x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-9, -2.5}

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