18x(x-5)=8x

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Solution for 18x(x-5)=8x equation:


Simplifying
18x(x + -5) = 8x

Reorder the terms:
18x(-5 + x) = 8x
(-5 * 18x + x * 18x) = 8x
(-90x + 18x2) = 8x

Solving
-90x + 18x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-90x + -8x + 18x2 = 8x + -8x

Combine like terms: -90x + -8x = -98x
-98x + 18x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-98x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-49 + 9x) = 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 '(-49 + 9x)' equal to zero and attempt to solve: Simplifying -49 + 9x = 0 Solving -49 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 9x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 9x = 0 + 49 9x = 0 + 49 Combine like terms: 0 + 49 = 49 9x = 49 Divide each side by '9'. x = 5.444444444 Simplifying x = 5.444444444

Solution

x = {0, 5.444444444}

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