10x^2+20x+5=5

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Solution for 10x^2+20x+5=5 equation:


Simplifying
10x2 + 20x + 5 = 5

Reorder the terms:
5 + 20x + 10x2 = 5

Add '-5' to each side of the equation.
5 + 20x + -5 + 10x2 = 5 + -5

Reorder the terms:
5 + -5 + 20x + 10x2 = 5 + -5

Combine like terms: 5 + -5 = 0
0 + 20x + 10x2 = 5 + -5
20x + 10x2 = 5 + -5

Combine like terms: 5 + -5 = 0
20x + 10x2 = 0

Solving
20x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {0, -2}

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