=-5x(x+1)

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Solution for =-5x(x+1) equation:


Simplifying
0 = -5x(x + 1)

Reorder the terms:
0 = -5x(1 + x)
0 = (1 * -5x + x * -5x)
0 = (-5x + -5x2)

Solving
0 = -5x + -5x2

Solving for variable 'x'.
Remove the zero:
5x + 5x2 = -5x + -5x2 + 5x + 5x2

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

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

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

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

Ignore the factor 5.

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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {0, -1}

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