2x(3x-5)=6x(6x)-ax

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Solution for 2x(3x-5)=6x(6x)-ax equation: 


Simplifying
2x(3x + -5) = 6x(6x) + -1ax

Reorder the terms:
2x(-5 + 3x) = 6x(6x) + -1ax
(-5 * 2x + 3x * 2x) = 6x(6x) + -1ax
(-10x + 6x2) = 6x(6x) + -1ax

Remove parenthesis around (6x)
-10x + 6x2 = 6x * 6x + -1ax

Reorder the terms for easier multiplication:
-10x + 6x2 = 6 * 6x * x + -1ax

Multiply 6 * 6
-10x + 6x2 = 36x * x + -1ax

Multiply x * x
-10x + 6x2 = 36x2 + -1ax

Reorder the terms:
-10x + 6x2 = -1ax + 36x2

Solving
-10x + 6x2 = -1ax + 36x2

Solving for variable 'x'.

Reorder the terms:
ax + -10x + 6x2 + -36x2 = -1ax + 36x2 + ax + -36x2

Combine like terms: 6x2 + -36x2 = -30x2
ax + -10x + -30x2 = -1ax + 36x2 + ax + -36x2

Reorder the terms:
ax + -10x + -30x2 = -1ax + ax + 36x2 + -36x2

Combine like terms: -1ax + ax = 0
ax + -10x + -30x2 = 0 + 36x2 + -36x2
ax + -10x + -30x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
ax + -10x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(a + -10 + -30x) = 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 '(a + -10 + -30x)' equal to zero and attempt to solve:

Simplifying
a + -10 + -30x = 0

Reorder the terms:
-10 + a + -30x = 0

Solving
-10 + a + -30x = 0

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

Add '10' to each side of the equation.
-10 + a + 10 + -30x = 0 + 10

Reorder the terms:
-10 + 10 + a + -30x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + a + -30x = 0 + 10
a + -30x = 0 + 10

Combine like terms: 0 + 10 = 10
a + -30x = 10

Add '-1a' to each side of the equation.
a + -1a + -30x = 10 + -1a

Combine like terms: a + -1a = 0
0 + -30x = 10 + -1a
-30x = 10 + -1a

Divide each side by '-30'.
x = -0.3333333333 + 0.03333333333a

Simplifying
x = -0.3333333333 + 0.03333333333a
Solution
x = {0, -0.3333333333 + 0.03333333333a}

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