x^2+11x-42=18x-48

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Solution for x^2+11x-42=18x-48 equation: 


Simplifying
x2 + 11x + -42 = 18x + -48

Reorder the terms:
-42 + 11x + x2 = 18x + -48

Reorder the terms:
-42 + 11x + x2 = -48 + 18x

Solving
-42 + 11x + x2 = -48 + 18x

Solving for variable 'x'.

Reorder the terms:
-42 + 48 + 11x + -18x + x2 = -48 + 18x + 48 + -18x

Combine like terms: -42 + 48 = 6
6 + 11x + -18x + x2 = -48 + 18x + 48 + -18x

Combine like terms: 11x + -18x = -7x
6 + -7x + x2 = -48 + 18x + 48 + -18x

Reorder the terms:
6 + -7x + x2 = -48 + 48 + 18x + -18x

Combine like terms: -48 + 48 = 0
6 + -7x + x2 = 0 + 18x + -18x
6 + -7x + x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
6 + -7x + x2 = 0

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


Subproblem 1
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

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 = {1, 6}

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