18x^2+30x*8=0

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Solution for 18x^2+30x*8=0 equation: 


Simplifying
18x2 + 30x * 8 = 0

Reorder the terms for easier multiplication:
18x2 + 30 * 8x = 0

Multiply 30 * 8
18x2 + 240x = 0

Reorder the terms:
240x + 18x2 = 0

Solving
240x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(40 + 3x) = 0

Ignore the factor 6.

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 '(40 + 3x)' equal to zero and attempt to solve:

Simplifying
40 + 3x = 0

Solving
40 + 3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + 3x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 0 + -40
3x = 0 + -40

Combine like terms: 0 + -40 = -40
3x = -40

Divide each side by '3'.
x = -13.33333333

Simplifying
x = -13.33333333
Solution
x = {0, -13.33333333}

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