x^2+16x+10=7x-4

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Solution for x^2+16x+10=7x-4 equation: 


Simplifying
x2 + 16x + 10 = 7x + -4

Reorder the terms:
10 + 16x + x2 = 7x + -4

Reorder the terms:
10 + 16x + x2 = -4 + 7x

Solving
10 + 16x + x2 = -4 + 7x

Solving for variable 'x'.

Reorder the terms:
10 + 4 + 16x + -7x + x2 = -4 + 7x + 4 + -7x

Combine like terms: 10 + 4 = 14
14 + 16x + -7x + x2 = -4 + 7x + 4 + -7x

Combine like terms: 16x + -7x = 9x
14 + 9x + x2 = -4 + 7x + 4 + -7x

Reorder the terms:
14 + 9x + x2 = -4 + 4 + 7x + -7x

Combine like terms: -4 + 4 = 0
14 + 9x + x2 = 0 + 7x + -7x
14 + 9x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
14 + 9x + x2 = 0

Factor a trinomial.
(7 + x)(2 + x) = 0


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

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-7, -2}

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