3x(5x-7)=3x

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


Simplifying
3x(5x + -7) = 3x

Reorder the terms:
3x(-7 + 5x) = 3x
(-7 * 3x + 5x * 3x) = 3x
(-21x + 15x2) = 3x

Solving
-21x + 15x2 = 3x

Solving for variable 'x'.

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

Combine like terms: -21x + -3x = -24x
-24x + 15x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-24x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-8 + 5x) = 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 '(-8 + 5x)' equal to zero and attempt to solve:

Simplifying
-8 + 5x = 0

Solving
-8 + 5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 0 + 8
5x = 0 + 8

Combine like terms: 0 + 8 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {0, 1.6}

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