(2x*5)+(3x*4)=3x+(2x*45)(2x*50)

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Solution for (2x*5)+(3x*4)=3x+(2x*45)(2x*50) equation: 


Simplifying
(2x * 5) + (3x * 4) = 3x + (2x * 45)(2x * 50)

Reorder the terms for easier multiplication:
(2 * 5x) + (3x * 4) = 3x + (2x * 45)(2x * 50)

Multiply 2 * 5
(10x) + (3x * 4) = 3x + (2x * 45)(2x * 50)

Reorder the terms for easier multiplication:
(10x) + (3 * 4x) = 3x + (2x * 45)(2x * 50)

Multiply 3 * 4
(10x) + (12x) = 3x + (2x * 45)(2x * 50)

Combine like terms: (10x) + (12x) = 22x
22x = 3x + (2x * 45)(2x * 50)

Reorder the terms for easier multiplication:
22x = 3x + (2 * 45x)(2x * 50)

Multiply 2 * 45
22x = 3x + (90x)(2x * 50)

Remove parenthesis around (90x)
22x = 3x + 90x(2x * 50)

Reorder the terms for easier multiplication:
22x = 3x + 90x(2 * 50x)

Multiply 2 * 50
22x = 3x + 90x(100x)

Remove parenthesis around (100x)
22x = 3x + 90x * 100x

Reorder the terms for easier multiplication:
22x = 3x + 90 * 100x * x

Multiply 90 * 100
22x = 3x + 9000x * x

Multiply x * x
22x = 3x + 9000x2

Solving
22x = 3x + 9000x2

Solving for variable 'x'.

Combine like terms: 22x + -3x = 19x
19x + -9000x2 = 3x + 9000x2 + -3x + -9000x2

Reorder the terms:
19x + -9000x2 = 3x + -3x + 9000x2 + -9000x2

Combine like terms: 3x + -3x = 0
19x + -9000x2 = 0 + 9000x2 + -9000x2
19x + -9000x2 = 9000x2 + -9000x2

Combine like terms: 9000x2 + -9000x2 = 0
19x + -9000x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + -9000x) = 0


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 '(19 + -9000x)' equal to zero and attempt to solve:

Simplifying
19 + -9000x = 0

Solving
19 + -9000x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -9000x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -9000x = 0 + -19
-9000x = 0 + -19

Combine like terms: 0 + -19 = -19
-9000x = -19

Divide each side by '-9000'.
x = 0.002111111111

Simplifying
x = 0.002111111111
Solution
x = {0, 0.002111111111}

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