x^2+3x-28=5x-4

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Solution for x^2+3x-28=5x-4 equation: 


Simplifying
x2 + 3x + -28 = 5x + -4

Reorder the terms:
-28 + 3x + x2 = 5x + -4

Reorder the terms:
-28 + 3x + x2 = -4 + 5x

Solving
-28 + 3x + x2 = -4 + 5x

Solving for variable 'x'.

Reorder the terms:
-28 + 4 + 3x + -5x + x2 = -4 + 5x + 4 + -5x

Combine like terms: -28 + 4 = -24
-24 + 3x + -5x + x2 = -4 + 5x + 4 + -5x

Combine like terms: 3x + -5x = -2x
-24 + -2x + x2 = -4 + 5x + 4 + -5x

Reorder the terms:
-24 + -2x + x2 = -4 + 4 + 5x + -5x

Combine like terms: -4 + 4 = 0
-24 + -2x + x2 = 0 + 5x + -5x
-24 + -2x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + -2x + x2 = 0

Factor a trinomial.
(-4 + -1x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-4, 6}

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