0=14x^2+28x+14

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Solution for 0=14x^2+28x+14 equation:


Simplifying
0 = 14x2 + 28x + 14

Reorder the terms:
0 = 14 + 28x + 14x2

Solving
0 = 14 + 28x + 14x2

Solving for variable 'x'.

Combine like terms: 0 + -14 = -14
-14 + -28x + -14x2 = 14 + 28x + 14x2 + -14 + -28x + -14x2

Reorder the terms:
-14 + -28x + -14x2 = 14 + -14 + 28x + -28x + 14x2 + -14x2

Combine like terms: 14 + -14 = 0
-14 + -28x + -14x2 = 0 + 28x + -28x + 14x2 + -14x2
-14 + -28x + -14x2 = 28x + -28x + 14x2 + -14x2

Combine like terms: 28x + -28x = 0
-14 + -28x + -14x2 = 0 + 14x2 + -14x2
-14 + -28x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-14 + -28x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '-14'.
-14(1 + 2x + x2) = 0

Factor a trinomial.
-14((1 + x)(1 + x)) = 0

Ignore the factor -14.

Subproblem 1

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

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 = {-1, -1}

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