=5x(2x+2)

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Solution for =5x(2x+2) equation:


Simplifying
0 = 5x(2x + 2)

Reorder the terms:
0 = 5x(2 + 2x)
0 = (2 * 5x + 2x * 5x)
0 = (10x + 10x2)

Solving
0 = 10x + 10x2

Solving for variable 'x'.
Remove the zero:
-10x + -10x2 = 10x + 10x2 + -10x + -10x2

Reorder the terms:
-10x + -10x2 = 10x + -10x + 10x2 + -10x2

Combine like terms: 10x + -10x = 0
-10x + -10x2 = 0 + 10x2 + -10x2
-10x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-10x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '-10x'.
-10x(1 + x) = 0

Ignore the factor -10.

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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