0=20x^2+44x+8

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Solution for 0=20x^2+44x+8 equation:


Simplifying
0 = 20x2 + 44x + 8

Reorder the terms:
0 = 8 + 44x + 20x2

Solving
0 = 8 + 44x + 20x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + -44x + -20x2 = 8 + 44x + 20x2 + -8 + -44x + -20x2

Reorder the terms:
-8 + -44x + -20x2 = 8 + -8 + 44x + -44x + 20x2 + -20x2

Combine like terms: 8 + -8 = 0
-8 + -44x + -20x2 = 0 + 44x + -44x + 20x2 + -20x2
-8 + -44x + -20x2 = 44x + -44x + 20x2 + -20x2

Combine like terms: 44x + -44x = 0
-8 + -44x + -20x2 = 0 + 20x2 + -20x2
-8 + -44x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-8 + -44x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(2 + 11x + 5x2) = 0

Factor a trinomial.
-4((2 + x)(1 + 5x)) = 0

Ignore the factor -4.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Solution

x = {-2, -0.2}

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