-5(2x*9)-8x(3x-2)=

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Solution for -5(2x*9)-8x(3x-2)= equation: 


Simplifying
-5(2x * 9) + -8x(3x + -2) = 0

Reorder the terms for easier multiplication:
-5(2 * 9x) + -8x(3x + -2) = 0

Multiply 2 * 9
-5(18x) + -8x(3x + -2) = 0

Remove parenthesis around (18x)
-5 * 18x + -8x(3x + -2) = 0

Multiply -5 * 18
-90x + -8x(3x + -2) = 0

Reorder the terms:
-90x + -8x(-2 + 3x) = 0
-90x + (-2 * -8x + 3x * -8x) = 0
-90x + (16x + -24x2) = 0

Combine like terms: -90x + 16x = -74x
-74x + -24x2 = 0

Solving
-74x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(37 + 12x) = 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 '(37 + 12x)' equal to zero and attempt to solve:

Simplifying
37 + 12x = 0

Solving
37 + 12x = 0

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

Add '-37' to each side of the equation.
37 + -37 + 12x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 12x = 0 + -37
12x = 0 + -37

Combine like terms: 0 + -37 = -37
12x = -37

Divide each side by '12'.
x = -3.083333333

Simplifying
x = -3.083333333
Solution
x = {0, -3.083333333}

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