x^2+11x-29=7x+3

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Solution for x^2+11x-29=7x+3 equation: 


Simplifying
x2 + 11x + -29 = 7x + 3

Reorder the terms:
-29 + 11x + x2 = 7x + 3

Reorder the terms:
-29 + 11x + x2 = 3 + 7x

Solving
-29 + 11x + x2 = 3 + 7x

Solving for variable 'x'.

Reorder the terms:
-29 + -3 + 11x + -7x + x2 = 3 + 7x + -3 + -7x

Combine like terms: -29 + -3 = -32
-32 + 11x + -7x + x2 = 3 + 7x + -3 + -7x

Combine like terms: 11x + -7x = 4x
-32 + 4x + x2 = 3 + 7x + -3 + -7x

Reorder the terms:
-32 + 4x + x2 = 3 + -3 + 7x + -7x

Combine like terms: 3 + -3 = 0
-32 + 4x + x2 = 0 + 7x + -7x
-32 + 4x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-32 + 4x + x2 = 0

Factor a trinomial.
(-8 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-8, 4}

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