12x^2+28x+2=-13

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Solution for 12x^2+28x+2=-13 equation:


Simplifying
12x2 + 28x + 2 = -13

Reorder the terms:
2 + 28x + 12x2 = -13

Solving
2 + 28x + 12x2 = -13

Solving for variable 'x'.

Reorder the terms:
2 + 13 + 28x + 12x2 = -13 + 13

Combine like terms: 2 + 13 = 15
15 + 28x + 12x2 = -13 + 13

Combine like terms: -13 + 13 = 0
15 + 28x + 12x2 = 0

Factor a trinomial.
(3 + 2x)(5 + 6x) = 0

Subproblem 1

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333

Solution

x = {-1.5, -0.8333333333}

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