(3x-10)x=77

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Solution for (3x-10)x=77 equation: 


Simplifying
(3x + -10) * x = 77

Reorder the terms:
(-10 + 3x) * x = 77

Reorder the terms for easier multiplication:
x(-10 + 3x) = 77
(-10 * x + 3x * x) = 77
(-10x + 3x2) = 77

Solving
-10x + 3x2 = 77

Solving for variable 'x'.

Reorder the terms:
-77 + -10x + 3x2 = 77 + -77

Combine like terms: 77 + -77 = 0
-77 + -10x + 3x2 = 0

Factor a trinomial.
(-11 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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 = {-3.666666667, 7}

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