6x(x-4)=15x^2-25x

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Solution for 6x(x-4)=15x^2-25x equation: 


Simplifying
6x(x + -4) = 15x2 + -25x

Reorder the terms:
6x(-4 + x) = 15x2 + -25x
(-4 * 6x + x * 6x) = 15x2 + -25x
(-24x + 6x2) = 15x2 + -25x

Reorder the terms:
-24x + 6x2 = -25x + 15x2

Solving
-24x + 6x2 = -25x + 15x2

Solving for variable 'x'.

Reorder the terms:
-24x + 25x + 6x2 + -15x2 = -25x + 15x2 + 25x + -15x2

Combine like terms: -24x + 25x = 1x
1x + 6x2 + -15x2 = -25x + 15x2 + 25x + -15x2

Combine like terms: 6x2 + -15x2 = -9x2
1x + -9x2 = -25x + 15x2 + 25x + -15x2

Reorder the terms:
1x + -9x2 = -25x + 25x + 15x2 + -15x2

Combine like terms: -25x + 25x = 0
1x + -9x2 = 0 + 15x2 + -15x2
1x + -9x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
1x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -9x) = 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 '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Solution
x = {0, 0.1111111111}

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