28=(6x-17)*x

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Solution for 28=(6x-17)*x equation:


Simplifying
28 = (6x + -17) * x

Reorder the terms:
28 = (-17 + 6x) * x

Reorder the terms for easier multiplication:
28 = x(-17 + 6x)
28 = (-17 * x + 6x * x)
28 = (-17x + 6x2)

Solving
28 = -17x + 6x2

Solving for variable 'x'.

Reorder the terms:
28 + 17x + -6x2 = -17x + 17x + 6x2 + -6x2

Combine like terms: -17x + 17x = 0
28 + 17x + -6x2 = 0 + 6x2 + -6x2
28 + 17x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
28 + 17x + -6x2 = 0

Factor a trinomial.
(4 + -1x)(7 + 6x) = 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 '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 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 + 6x = 0 + -7

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

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

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667
Solution
x = {4, -1.166666667}

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