7x(3x-4)-5x(2x-3)-(3x)=

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Solution for 7x(3x-4)-5x(2x-3)-(3x)= equation: 


Simplifying
7x(3x + -4) + -5x(2x + -3) + -1(3x) = 0

Reorder the terms:
7x(-4 + 3x) + -5x(2x + -3) + -1(3x) = 0
(-4 * 7x + 3x * 7x) + -5x(2x + -3) + -1(3x) = 0
(-28x + 21x2) + -5x(2x + -3) + -1(3x) = 0

Reorder the terms:
-28x + 21x2 + -5x(-3 + 2x) + -1(3x) = 0
-28x + 21x2 + (-3 * -5x + 2x * -5x) + -1(3x) = 0
-28x + 21x2 + (15x + -10x2) + -1(3x) = 0

Remove parenthesis around (3x)
-28x + 21x2 + 15x + -10x2 + -1 * 3x = 0

Multiply -1 * 3
-28x + 21x2 + 15x + -10x2 + -3x = 0

Reorder the terms:
-28x + 15x + -3x + 21x2 + -10x2 = 0

Combine like terms: -28x + 15x = -13x
-13x + -3x + 21x2 + -10x2 = 0

Combine like terms: -13x + -3x = -16x
-16x + 21x2 + -10x2 = 0

Combine like terms: 21x2 + -10x2 = 11x2
-16x + 11x2 = 0

Solving
-16x + 11x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 11x) = 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 '(-16 + 11x)' equal to zero and attempt to solve:

Simplifying
-16 + 11x = 0

Solving
-16 + 11x = 0

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

Add '16' to each side of the equation.
-16 + 16 + 11x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 11x = 0 + 16
11x = 0 + 16

Combine like terms: 0 + 16 = 16
11x = 16

Divide each side by '11'.
x = 1.454545455

Simplifying
x = 1.454545455
Solution
x = {0, 1.454545455}

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