(90x)(100x)(5x)=195x

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Solution for (90x)(100x)(5x)=195x equation:


Simplifying
(90x)(100x)(5x) = 195x

Remove parenthesis around (90x)
90x(100x)(5x) = 195x

Remove parenthesis around (100x)
90x * 100x(5x) = 195x

Remove parenthesis around (5x)
90x * 100x * 5x = 195x

Reorder the terms for easier multiplication:
90 * 100 * 5x * x * x = 195x

Multiply 90 * 100
9000 * 5x * x * x = 195x

Multiply 9000 * 5
45000x * x * x = 195x

Multiply x * x
45000x2 * x = 195x

Multiply x2 * x
45000x3 = 195x

Solving
45000x3 = 195x

Solving for variable 'x'.

Reorder the terms:
-195x + 45000x3 = 195x + -195x

Combine like terms: 195x + -195x = 0
-195x + 45000x3 = 0

Factor out the Greatest Common Factor (GCF), '15x'.
15x(-13 + 3000x2) = 0

Ignore the factor 15.

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 '(-13 + 3000x2)' equal to zero and attempt to solve:

Simplifying
-13 + 3000x2 = 0

Solving
-13 + 3000x2 = 0

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

Add '13' to each side of the equation.
-13 + 13 + 3000x2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3000x2 = 0 + 13
3000x2 = 0 + 13

Combine like terms: 0 + 13 = 13
3000x2 = 13

Divide each side by '3000'.
x2 = 0.004333333333

Simplifying
x2 = 0.004333333333

Take the square root of each side:
x = {-0.065828059, 0.065828059}
Solution
x = {0, -0.065828059, 0.065828059}

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