4=2x^2+6x+4

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Solution for 4=2x^2+6x+4 equation:


Simplifying
4 = 2x2 + 6x + 4

Reorder the terms:
4 = 4 + 6x + 2x2

Add '-4' to each side of the equation.
4 + -4 = 4 + 6x + -4 + 2x2

Combine like terms: 4 + -4 = 0
0 = 4 + 6x + -4 + 2x2

Reorder the terms:
0 = 4 + -4 + 6x + 2x2

Combine like terms: 4 + -4 = 0
0 = 0 + 6x + 2x2
0 = 6x + 2x2

Solving
0 = 6x + 2x2

Solving for variable 'x'.
Remove the zero:
-6x + -2x2 = 6x + 2x2 + -6x + -2x2

Reorder the terms:
-6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
-6x + -2x2 = 0 + 2x2 + -2x2
-6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(3 + x) = 0

Ignore the factor -2.

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

Solution

x = {0, -3}

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