60x-18x*18x-6x=0

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Solution for 60x-18x*18x-6x=0 equation:


Simplifying
60x + -18x * 18x + -6x = 0

Reorder the terms for easier multiplication:
60x + -18 * 18x * x + -6x = 0

Multiply -18 * 18
60x + -324x * x + -6x = 0

Multiply x * x
60x + -324x2 + -6x = 0

Reorder the terms:
60x + -6x + -324x2 = 0

Combine like terms: 60x + -6x = 54x
54x + -324x2 = 0

Solving
54x + -324x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '54x'.
54x(1 + -6x) = 0

Ignore the factor 54.

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 '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667

Solution

x = {0, 0.1666666667}

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