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

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


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

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

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

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

Multiply (-5 + 2x) * (-3 + 9x)
x(-5(-3 + 9x) + 2x * (-3 + 9x)) = 0
x((-3 * -5 + 9x * -5) + 2x * (-3 + 9x)) = 0
x((15 + -45x) + 2x * (-3 + 9x)) = 0
x(15 + -45x + (-3 * 2x + 9x * 2x)) = 0
x(15 + -45x + (-6x + 18x2)) = 0

Combine like terms: -45x + -6x = -51x
x(15 + -51x + 18x2) = 0
(15 * x + -51x * x + 18x2 * x) = 0
(15x + -51x2 + 18x3) = 0

Solving
15x + -51x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(5 + -17x + 6x2) = 0

Factor a trinomial.
3x((1 + -3x)(5 + -2x)) = 0

Ignore the factor 3.

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0, 0.3333333333, 2.5}

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