x^2+15x+26=7x+10

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Solution for x^2+15x+26=7x+10 equation: 


Simplifying
x2 + 15x + 26 = 7x + 10

Reorder the terms:
26 + 15x + x2 = 7x + 10

Reorder the terms:
26 + 15x + x2 = 10 + 7x

Solving
26 + 15x + x2 = 10 + 7x

Solving for variable 'x'.

Reorder the terms:
26 + -10 + 15x + -7x + x2 = 10 + 7x + -10 + -7x

Combine like terms: 26 + -10 = 16
16 + 15x + -7x + x2 = 10 + 7x + -10 + -7x

Combine like terms: 15x + -7x = 8x
16 + 8x + x2 = 10 + 7x + -10 + -7x

Reorder the terms:
16 + 8x + x2 = 10 + -10 + 7x + -7x

Combine like terms: 10 + -10 = 0
16 + 8x + x2 = 0 + 7x + -7x
16 + 8x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
16 + 8x + x2 = 0

Factor a trinomial.
(4 + x)(4 + x) = 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 '(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
Solution
x = {-4, -4}

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