5x(x-3)+8x=6x

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Solution for 5x(x-3)+8x=6x equation: 


Simplifying
5x(x + -3) + 8x = 6x

Reorder the terms:
5x(-3 + x) + 8x = 6x
(-3 * 5x + x * 5x) + 8x = 6x
(-15x + 5x2) + 8x = 6x

Reorder the terms:
-15x + 8x + 5x2 = 6x

Combine like terms: -15x + 8x = -7x
-7x + 5x2 = 6x

Solving
-7x + 5x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-7x + -6x + 5x2 = 6x + -6x

Combine like terms: -7x + -6x = -13x
-13x + 5x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-13x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13 + 5x) = 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 '(-13 + 5x)' equal to zero and attempt to solve:

Simplifying
-13 + 5x = 0

Solving
-13 + 5x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 5x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 0 + 13
5x = 0 + 13

Combine like terms: 0 + 13 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6
Solution
x = {0, 2.6}

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