3x^2-18x=10x-49

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Solution for 3x^2-18x=10x-49 equation: 


Simplifying
3x2 + -18x = 10x + -49

Reorder the terms:
-18x + 3x2 = 10x + -49

Reorder the terms:
-18x + 3x2 = -49 + 10x

Solving
-18x + 3x2 = -49 + 10x

Solving for variable 'x'.

Reorder the terms:
49 + -18x + -10x + 3x2 = -49 + 10x + 49 + -10x

Combine like terms: -18x + -10x = -28x
49 + -28x + 3x2 = -49 + 10x + 49 + -10x

Reorder the terms:
49 + -28x + 3x2 = -49 + 49 + 10x + -10x

Combine like terms: -49 + 49 = 0
49 + -28x + 3x2 = 0 + 10x + -10x
49 + -28x + 3x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
49 + -28x + 3x2 = 0

Factor a trinomial.
(7 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {2.333333333, 7}

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