-x(x-3)+x(-2x-8)=

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


Simplifying
-1x(x + -3) + x(-2x + -8) = 0

Reorder the terms:
-1x(-3 + x) + x(-2x + -8) = 0
(-3 * -1x + x * -1x) + x(-2x + -8) = 0
(3x + -1x2) + x(-2x + -8) = 0

Reorder the terms:
3x + -1x2 + x(-8 + -2x) = 0
3x + -1x2 + (-8 * x + -2x * x) = 0
3x + -1x2 + (-8x + -2x2) = 0

Reorder the terms:
3x + -8x + -1x2 + -2x2 = 0

Combine like terms: 3x + -8x = -5x
-5x + -1x2 + -2x2 = 0

Combine like terms: -1x2 + -2x2 = -3x2
-5x + -3x2 = 0

Solving
-5x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(5 + 3x) = 0

Ignore the factor -1.

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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {0, -1.666666667}

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