x(3x-7)=26

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Solution for x(3x-7)=26 equation: 


Simplifying
x(3x + -7) = 26

Reorder the terms:
x(-7 + 3x) = 26
(-7 * x + 3x * x) = 26
(-7x + 3x2) = 26

Solving
-7x + 3x2 = 26

Solving for variable 'x'.

Reorder the terms:
-26 + -7x + 3x2 = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + -7x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(13 + -3x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(13 + -3x)' equal to zero and attempt to solve:

Simplifying
13 + -3x = 0

Solving
13 + -3x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 0 + -13
-3x = 0 + -13

Combine like terms: 0 + -13 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333
Solution
x = {-2, 4.333333333}

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