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

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


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

Reorder the terms:
5x(-5 + 3x) + -1(6 + 2) = x
(-5 * 5x + 3x * 5x) + -1(6 + 2) = x
(-25x + 15x2) + -1(6 + 2) = x

Combine like terms: 6 + 2 = 8
-25x + 15x2 + -1(8) = x

Multiply -1 * 8
-25x + 15x2 + -8 = x

Reorder the terms:
-8 + -25x + 15x2 = x

Solving
-8 + -25x + 15x2 = x

Solving for variable 'x'.

Reorder the terms:
-8 + -25x + -1x + 15x2 = x + -1x

Combine like terms: -25x + -1x = -26x
-8 + -26x + 15x2 = x + -1x

Combine like terms: x + -1x = 0
-8 + -26x + 15x2 = 0

Factor a trinomial.
(-4 + -15x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -15x)' equal to zero and attempt to solve:

Simplifying
-4 + -15x = 0

Solving
-4 + -15x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -15x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -15x = 0 + 4
-15x = 0 + 4

Combine like terms: 0 + 4 = 4
-15x = 4

Divide each side by '-15'.
x = -0.2666666667

Simplifying
x = -0.2666666667

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.2666666667, 2}

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