x(3x+4)-90x=0

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Solution for x(3x+4)-90x=0 equation: 


Simplifying
x(3x + 4) + -90x = 0

Reorder the terms:
x(4 + 3x) + -90x = 0
(4 * x + 3x * x) + -90x = 0
(4x + 3x2) + -90x = 0

Reorder the terms:
4x + -90x + 3x2 = 0

Combine like terms: 4x + -90x = -86x
-86x + 3x2 = 0

Solving
-86x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-86 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-86 + 3x)' equal to zero and attempt to solve:

Simplifying
-86 + 3x = 0

Solving
-86 + 3x = 0

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

Add '86' to each side of the equation.
-86 + 86 + 3x = 0 + 86

Combine like terms: -86 + 86 = 0
0 + 3x = 0 + 86
3x = 0 + 86

Combine like terms: 0 + 86 = 86
3x = 86

Divide each side by '3'.
x = 28.66666667

Simplifying
x = 28.66666667
Solution
x = {0, 28.66666667}

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