x^2+14x-8=3x+4

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Solution for x^2+14x-8=3x+4 equation: 


Simplifying
x2 + 14x + -8 = 3x + 4

Reorder the terms:
-8 + 14x + x2 = 3x + 4

Reorder the terms:
-8 + 14x + x2 = 4 + 3x

Solving
-8 + 14x + x2 = 4 + 3x

Solving for variable 'x'.

Reorder the terms:
-8 + -4 + 14x + -3x + x2 = 4 + 3x + -4 + -3x

Combine like terms: -8 + -4 = -12
-12 + 14x + -3x + x2 = 4 + 3x + -4 + -3x

Combine like terms: 14x + -3x = 11x
-12 + 11x + x2 = 4 + 3x + -4 + -3x

Reorder the terms:
-12 + 11x + x2 = 4 + -4 + 3x + -3x

Combine like terms: 4 + -4 = 0
-12 + 11x + x2 = 0 + 3x + -3x
-12 + 11x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 11x + x2 = 0

Factor a trinomial.
(-12 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-12, 1}

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