8-6(5-3x)+2x(x+1)=

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Solution for 8-6(5-3x)+2x(x+1)= equation:


Simplifying
8 + -6(5 + -3x) + 2x(x + 1) = 0
8 + (5 * -6 + -3x * -6) + 2x(x + 1) = 0
8 + (-30 + 18x) + 2x(x + 1) = 0

Reorder the terms:
8 + -30 + 18x + 2x(1 + x) = 0
8 + -30 + 18x + (1 * 2x + x * 2x) = 0
8 + -30 + 18x + (2x + 2x2) = 0

Combine like terms: 8 + -30 = -22
-22 + 18x + 2x + 2x2 = 0

Combine like terms: 18x + 2x = 20x
-22 + 20x + 2x2 = 0

Solving
-22 + 20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-11 + 10x + x2) = 0

Factor a trinomial.
2((-11 + -1x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-11, 1}

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