2x*3x-1*x+5*3x=

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Solution for 2x*3x-1*x+5*3x= equation: 


Simplifying
2x * 3x + -1x + 5 * 3x = 0

Reorder the terms for easier multiplication:
2 * 3x * x + -1x + 5 * 3x = 0

Multiply 2 * 3
6x * x + -1x + 5 * 3x = 0

Multiply x * x
6x2 + -1x + 5 * 3x = 0

Multiply 5 * 3
6x2 + -1x + 15x = 0

Reorder the terms:
-1x + 15x + 6x2 = 0

Combine like terms: -1x + 15x = 14x
14x + 6x2 = 0

Solving
14x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + 3x) = 0

Ignore the factor 2.

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 '(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
Solution
x = {0, -2.333333333}

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